\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  17.0 & -10.00 x_{1} & +  4.00 x_{2} & +  5.00 x_{3} & +  3.00 x_{4} & +  3.00 x_{5} & + 10.00 x_{6} & -10.00 x_{7} & -8.00 x_{8} & -9.00 x_{9} &   & -7.00 x_{11} & +  1.00 x_{12} & -8.00 x_{13} & +  4.00 x_{14} & +  6.00 x_{15} & +  8.00 x_{16} & +  6.00 x_{17}\\
 x_{19}   &  -24.0 & +  9.00 x_{1} & +  8.00 x_{2} & -8.00 x_{3} & -4.00 x_{4} & -7.00 x_{5} & -1.00 x_{6} & +  4.00 x_{7} & -4.00 x_{8} &   & -4.00 x_{10} & +  1.00 x_{11} & +  2.00 x_{12} & +  5.00 x_{13} & -6.00 x_{14} & -7.00 x_{15} & +  5.00 x_{16} & +  9.00 x_{17}\\
 x_{20}   &  -13.0 & -10.00 x_{1} & +  6.00 x_{2} & +  6.00 x_{3} & -1.00 x_{4} & -1.00 x_{5} & -5.00 x_{6} & +  8.00 x_{7} &   & -1.00 x_{9} & -9.00 x_{10} & +  5.00 x_{11} &   & -4.00 x_{13} & +  8.00 x_{14} & +  7.00 x_{15} & +  1.00 x_{16} & -3.00 x_{17}\\
 x_{21}   &  -1.0 & +  4.00 x_{1} & + 10.00 x_{2} &   & -10.00 x_{4} & -8.00 x_{5} &   & +  7.00 x_{7} & +  1.00 x_{8} & +  9.00 x_{9} & -6.00 x_{10} & +  6.00 x_{11} & -6.00 x_{12} & +  9.00 x_{13} & + 10.00 x_{14} & -3.00 x_{15} & +  1.00 x_{16} & -9.00 x_{17}\\
 x_{22}   &  30.0 & + 10.00 x_{1} & +  8.00 x_{2} & +  5.00 x_{3} & -8.00 x_{4} & -10.00 x_{5} & -10.00 x_{6} & -8.00 x_{7} & +  4.00 x_{8} & +  4.00 x_{9} & +  9.00 x_{10} & -7.00 x_{11} & -4.00 x_{12} & +  6.00 x_{13} & -10.00 x_{14} & +  2.00 x_{15} & +  5.00 x_{16} & -5.00 x_{17}\\
 x_{23}   &  -19.0 & +  2.00 x_{1} & +  5.00 x_{2} & -3.00 x_{3} & -6.00 x_{4} & +  5.00 x_{5} & +  1.00 x_{6} & -2.00 x_{7} & -6.00 x_{8} & -3.00 x_{9} & -2.00 x_{10} & -3.00 x_{11} & +  7.00 x_{12} & + 10.00 x_{13} & +  6.00 x_{14} & +  1.00 x_{15} & + 10.00 x_{16} & +  4.00 x_{17}\\
 x_{24}   &  -37.0 & +  9.00 x_{1} & +  3.00 x_{2} & +  2.00 x_{3} & +  5.00 x_{4} & -7.00 x_{5} & -5.00 x_{6} & +  4.00 x_{7} & +  3.00 x_{8} & +  7.00 x_{9} &   & +  7.00 x_{11} & +  6.00 x_{12} &   & +  1.00 x_{14} &   & -9.00 x_{16} & -2.00 x_{17}\\
 x_{25}   &  79.0 & -2.00 x_{1} & -5.00 x_{2} & +  2.00 x_{3} & +  8.00 x_{4} & -7.00 x_{5} & -1.00 x_{6} & -10.00 x_{7} & -2.00 x_{8} & -2.00 x_{9} & -4.00 x_{10} & +  3.00 x_{11} & -9.00 x_{12} & -9.00 x_{13} & -1.00 x_{14} & -5.00 x_{15} &   & +  4.00 x_{17}\\
 x_{26}   &  40.0 & -6.00 x_{1} & -9.00 x_{2} & +  5.00 x_{3} & -10.00 x_{4} & +  7.00 x_{5} & -6.00 x_{6} & +  4.00 x_{7} & -2.00 x_{8} & +  7.00 x_{9} & -7.00 x_{10} & -4.00 x_{11} & +  4.00 x_{12} &   & +  6.00 x_{14} & +  2.00 x_{15} & +  1.00 x_{16} & -3.00 x_{17}\\
 x_{27}   &  25.0 & +  3.00 x_{1} & -6.00 x_{2} & +  5.00 x_{3} & +  8.00 x_{4} & -5.00 x_{5} & -3.00 x_{6} & -3.00 x_{7} & +  2.00 x_{8} & -6.00 x_{9} & +  5.00 x_{10} & +  7.00 x_{11} & -7.00 x_{12} & -4.00 x_{13} & -3.00 x_{14} & +  9.00 x_{15} &   & -7.00 x_{17}\\
 x_{28}   &  -55.0 & + 10.00 x_{1} & +  7.00 x_{2} & -10.00 x_{3} & +  6.00 x_{4} & +  8.00 x_{5} & +  6.00 x_{6} & -2.00 x_{7} & +  6.00 x_{8} & +  9.00 x_{9} & -4.00 x_{10} & +  7.00 x_{11} & -6.00 x_{12} & -8.00 x_{13} & -9.00 x_{14} & +  3.00 x_{15} & +  7.00 x_{16} & -6.00 x_{17}\\
 x_{29}   &  0.0 & +  9.00 x_{1} & +  1.00 x_{2} & +  9.00 x_{3} & -6.00 x_{4} & -2.00 x_{5} & +  5.00 x_{6} & -2.00 x_{7} & +  8.00 x_{8} & +  4.00 x_{9} & -3.00 x_{10} & -5.00 x_{11} & -2.00 x_{12} & +  5.00 x_{13} & -2.00 x_{14} & +  4.00 x_{15} &   & -9.00 x_{17}\\
 x_{30}   &  -11.0 & +  4.00 x_{1} & +  6.00 x_{2} & -5.00 x_{3} & -8.00 x_{4} & +  9.00 x_{5} & + 10.00 x_{6} & +  3.00 x_{7} & -1.00 x_{8} & +  3.00 x_{9} & -9.00 x_{10} & +  9.00 x_{11} & -5.00 x_{12} & -5.00 x_{13} & -7.00 x_{14} & +  4.00 x_{15} &   & -6.00 x_{17}\\
 x_{31}   &  30.0 & -5.00 x_{1} & -4.00 x_{2} & + 10.00 x_{3} & -1.00 x_{4} & -3.00 x_{5} & +  3.00 x_{6} &   & -6.00 x_{8} & -3.00 x_{9} & -9.00 x_{10} & -8.00 x_{11} & +  8.00 x_{12} & -3.00 x_{13} &   & + 10.00 x_{15} & -2.00 x_{16} & -9.00 x_{17}\\
 x_{32}   &  103.0 & +  6.00 x_{1} & -6.00 x_{2} & -1.00 x_{3} & -9.00 x_{4} & -10.00 x_{5} &   & +  3.00 x_{7} & -7.00 x_{8} & -10.00 x_{9} & -4.00 x_{10} & -4.00 x_{11} & -1.00 x_{12} & -4.00 x_{13} & -6.00 x_{14} & -2.00 x_{15} & +  1.00 x_{16} & +  7.00 x_{17}\\
\hline
z    &  0.0 & +  5.00 x_{1} & +  1.00 x_{2} & -4.00 x_{3} & -5.00 x_{4} & +  3.00 x_{5} & +  5.00 x_{6} & +  2.00 x_{7} & -1.00 x_{8} & -4.00 x_{9} &   & -4.00 x_{11} &   & +  5.00 x_{13} &   & -2.00 x_{15} & +  5.00 x_{16} & -1.00 x_{17}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{17}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & + 10.00 y_{18} & -9.00 y_{19} & + 10.00 y_{20} & -4.00 y_{21} & -10.00 y_{22} & -2.00 y_{23} & -9.00 y_{24} & +  2.00 y_{25} & +  6.00 y_{26} & -3.00 y_{27} & -10.00 y_{28} & -9.00 y_{29} & -4.00 y_{30} & +  5.00 y_{31} & -6.00 y_{32}\\
 y_{2}   &  1.0 & -4.00 y_{18} & -8.00 y_{19} & -6.00 y_{20} & -10.00 y_{21} & -8.00 y_{22} & -5.00 y_{23} & -3.00 y_{24} & +  5.00 y_{25} & +  9.00 y_{26} & +  6.00 y_{27} & -7.00 y_{28} & -1.00 y_{29} & -6.00 y_{30} & +  4.00 y_{31} & +  6.00 y_{32}\\
 y_{3}   &  1.0 & -5.00 y_{18} & +  8.00 y_{19} & -6.00 y_{20} &   & -5.00 y_{22} & +  3.00 y_{23} & -2.00 y_{24} & -2.00 y_{25} & -5.00 y_{26} & -5.00 y_{27} & + 10.00 y_{28} & -9.00 y_{29} & +  5.00 y_{30} & -10.00 y_{31} & +  1.00 y_{32}\\
 y_{4}   &  1.0 & -3.00 y_{18} & +  4.00 y_{19} & +  1.00 y_{20} & + 10.00 y_{21} & +  8.00 y_{22} & +  6.00 y_{23} & -5.00 y_{24} & -8.00 y_{25} & + 10.00 y_{26} & -8.00 y_{27} & -6.00 y_{28} & +  6.00 y_{29} & +  8.00 y_{30} & +  1.00 y_{31} & +  9.00 y_{32}\\
 y_{5}   &  1.0 & -3.00 y_{18} & +  7.00 y_{19} & +  1.00 y_{20} & +  8.00 y_{21} & + 10.00 y_{22} & -5.00 y_{23} & +  7.00 y_{24} & +  7.00 y_{25} & -7.00 y_{26} & +  5.00 y_{27} & -8.00 y_{28} & +  2.00 y_{29} & -9.00 y_{30} & +  3.00 y_{31} & + 10.00 y_{32}\\
 y_{6}   &  1.0 & -10.00 y_{18} & +  1.00 y_{19} & +  5.00 y_{20} &   & + 10.00 y_{22} & -1.00 y_{23} & +  5.00 y_{24} & +  1.00 y_{25} & +  6.00 y_{26} & +  3.00 y_{27} & -6.00 y_{28} & -5.00 y_{29} & -10.00 y_{30} & -3.00 y_{31} &   \\
 y_{7}   &  1.0 & + 10.00 y_{18} & -4.00 y_{19} & -8.00 y_{20} & -7.00 y_{21} & +  8.00 y_{22} & +  2.00 y_{23} & -4.00 y_{24} & + 10.00 y_{25} & -4.00 y_{26} & +  3.00 y_{27} & +  2.00 y_{28} & +  2.00 y_{29} & -3.00 y_{30} &   & -3.00 y_{32}\\
 y_{8}   &  1.0 & +  8.00 y_{18} & +  4.00 y_{19} &   & -1.00 y_{21} & -4.00 y_{22} & +  6.00 y_{23} & -3.00 y_{24} & +  2.00 y_{25} & +  2.00 y_{26} & -2.00 y_{27} & -6.00 y_{28} & -8.00 y_{29} & +  1.00 y_{30} & +  6.00 y_{31} & +  7.00 y_{32}\\
 y_{9}   &  1.0 & +  9.00 y_{18} &   & +  1.00 y_{20} & -9.00 y_{21} & -4.00 y_{22} & +  3.00 y_{23} & -7.00 y_{24} & +  2.00 y_{25} & -7.00 y_{26} & +  6.00 y_{27} & -9.00 y_{28} & -4.00 y_{29} & -3.00 y_{30} & +  3.00 y_{31} & + 10.00 y_{32}\\
 y_{10}   &  1.0  &   & +  4.00 y_{19} & +  9.00 y_{20} & +  6.00 y_{21} & -9.00 y_{22} & +  2.00 y_{23} &   & +  4.00 y_{25} & +  7.00 y_{26} & -5.00 y_{27} & +  4.00 y_{28} & +  3.00 y_{29} & +  9.00 y_{30} & +  9.00 y_{31} & +  4.00 y_{32}\\
 y_{11}   &  1.0 & +  7.00 y_{18} & -1.00 y_{19} & -5.00 y_{20} & -6.00 y_{21} & +  7.00 y_{22} & +  3.00 y_{23} & -7.00 y_{24} & -3.00 y_{25} & +  4.00 y_{26} & -7.00 y_{27} & -7.00 y_{28} & +  5.00 y_{29} & -9.00 y_{30} & +  8.00 y_{31} & +  4.00 y_{32}\\
 y_{12}   &  1.0 & -1.00 y_{18} & -2.00 y_{19} &   & +  6.00 y_{21} & +  4.00 y_{22} & -7.00 y_{23} & -6.00 y_{24} & +  9.00 y_{25} & -4.00 y_{26} & +  7.00 y_{27} & +  6.00 y_{28} & +  2.00 y_{29} & +  5.00 y_{30} & -8.00 y_{31} & +  1.00 y_{32}\\
 y_{13}   &  1.0 & +  8.00 y_{18} & -5.00 y_{19} & +  4.00 y_{20} & -9.00 y_{21} & -6.00 y_{22} & -10.00 y_{23} &   & +  9.00 y_{25} &   & +  4.00 y_{27} & +  8.00 y_{28} & -5.00 y_{29} & +  5.00 y_{30} & +  3.00 y_{31} & +  4.00 y_{32}\\
 y_{14}   &  1.0 & -4.00 y_{18} & +  6.00 y_{19} & -8.00 y_{20} & -10.00 y_{21} & + 10.00 y_{22} & -6.00 y_{23} & -1.00 y_{24} & +  1.00 y_{25} & -6.00 y_{26} & +  3.00 y_{27} & +  9.00 y_{28} & +  2.00 y_{29} & +  7.00 y_{30} &   & +  6.00 y_{32}\\
 y_{15}   &  1.0 & -6.00 y_{18} & +  7.00 y_{19} & -7.00 y_{20} & +  3.00 y_{21} & -2.00 y_{22} & -1.00 y_{23} &   & +  5.00 y_{25} & -2.00 y_{26} & -9.00 y_{27} & -3.00 y_{28} & -4.00 y_{29} & -4.00 y_{30} & -10.00 y_{31} & +  2.00 y_{32}\\
 y_{16}   &  1.0 & -8.00 y_{18} & -5.00 y_{19} & -1.00 y_{20} & -1.00 y_{21} & -5.00 y_{22} & -10.00 y_{23} & +  9.00 y_{24} &   & -1.00 y_{26} &   & -7.00 y_{28} &    &   & +  2.00 y_{31} & -1.00 y_{32}\\
 y_{17}   &  1.0 & -6.00 y_{18} & -9.00 y_{19} & +  3.00 y_{20} & +  9.00 y_{21} & +  5.00 y_{22} & -4.00 y_{23} & +  2.00 y_{24} & -4.00 y_{25} & +  3.00 y_{26} & +  7.00 y_{27} & +  6.00 y_{28} & +  9.00 y_{29} & +  6.00 y_{30} & +  9.00 y_{31} & -7.00 y_{32}\\
\hline
z    &  -0 & -17.00 y_{18} & + 24.00 y_{19} & + 13.00 y_{20} & +  1.00 y_{21} & -30.00 y_{22} & + 19.00 y_{23} & + 37.00 y_{24} & -79.00 y_{25} & -40.00 y_{26} & -25.00 y_{27} & + 55.00 y_{28} &   & + 11.00 y_{30} & -30.00 y_{31} & -103.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 20 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{13}   &  1.28015720546 & +  0.02 y_{2} & -2.77 y_{9} & + 14.67 y_{18} & -24.98 y_{21} & -13.20 y_{22} & +  0.98 y_{11} & +  1.18 y_{1} & + 12.21 y_{25} & +  0.31 y_{12} & + 28.66 y_{27} & +  7.36 y_{19} & -10.95 y_{29} & +  8.77 y_{30} & -29.27 y_{26} & + 34.38 y_{32}\\
 y_{17}   &  1.8241232531 & -0.32 y_{2} & -3.00 y_{9} & -2.61 y_{18} & -6.44 y_{21} & -7.75 y_{22} & +  1.51 y_{11} & +  1.16 y_{1} & +  7.36 y_{25} & -0.18 y_{12} & + 42.17 y_{27} & +  0.09 y_{19} & -0.03 y_{29} & + 14.18 y_{30} & -28.87 y_{26} & + 26.05 y_{32}\\
 y_{3}   &  0.702376916412 & -0.69 y_{2} & +  0.93 y_{9} & -6.80 y_{18} & -6.28 y_{21} & -21.66 y_{22} & +  0.21 y_{11} & -1.00 y_{1} & -5.36 y_{25} & +  0.84 y_{12} & -13.87 y_{27} & -4.64 y_{19} & -17.71 y_{29} & -2.64 y_{30} & + 16.28 y_{26} & -11.90 y_{32}\\
 y_{4}   &  0.421642119009 & -0.36 y_{2} & +  1.22 y_{9} & -12.82 y_{18} & + 16.42 y_{21} & +  7.79 y_{22} & -0.02 y_{11} & -0.25 y_{1} & -8.06 y_{25} & -0.02 y_{12} & -13.92 y_{27} & -1.11 y_{19} & +  8.45 y_{29} & +  8.46 y_{30} & + 23.21 y_{26} & -2.43 y_{32}\\
 y_{5}   &  1.44851270074 & +  1.29 y_{2} & +  0.04 y_{9} & +  7.15 y_{18} & + 19.59 y_{21} & + 34.81 y_{22} & -1.23 y_{11} & +  0.25 y_{1} & +  3.41 y_{25} & -0.79 y_{12} & -5.29 y_{27} & + 16.78 y_{19} & + 13.47 y_{29} & -7.29 y_{30} & -18.11 y_{26} & +  9.15 y_{32}\\
 y_{6}   &  1.41295312716 & +  0.64 y_{2} & +  1.11 y_{9} & -6.35 y_{18} & +  9.73 y_{21} & + 32.62 y_{22} & -1.61 y_{11} & -0.03 y_{1} & -4.52 y_{25} & -0.52 y_{12} & -15.26 y_{27} & +  3.18 y_{19} & +  8.90 y_{29} & -14.86 y_{30} & + 12.57 y_{26} & -8.19 y_{32}\\
 y_{7}   &  0.320751874035 & -0.19 y_{2} & +  0.20 y_{9} & +  7.80 y_{18} & -7.10 y_{21} & -5.30 y_{22} & +  0.78 y_{11} & -0.54 y_{1} & + 10.14 y_{25} & +  0.43 y_{12} & +  3.80 y_{27} & -8.75 y_{19} & -7.03 y_{29} & -0.78 y_{30} & +  0.93 y_{26} & -10.69 y_{32}\\
 y_{8}   &  0.797679587147 & -0.31 y_{2} & +  0.32 y_{9} & +  0.07 y_{18} & +  3.48 y_{21} & -7.16 y_{22} & +  0.48 y_{11} & +  0.02 y_{1} & +  7.00 y_{25} & -0.30 y_{12} & +  3.43 y_{27} & +  1.55 y_{19} & -8.65 y_{29} & +  5.94 y_{30} & +  3.83 y_{26} & +  4.19 y_{32}\\
 y_{31}   &  0.0355846862797 & -0.02 y_{2} & -0.18 y_{9} & -0.05 y_{18} & -0.61 y_{21} & -0.95 y_{22} & +  0.13 y_{11} & +  0.07 y_{1} & +  0.99 y_{25} & -0.03 y_{12} & +  2.55 y_{27} & +  0.56 y_{19} & -0.70 y_{29} & +  0.93 y_{30} & -2.19 y_{26} & +  1.91 y_{32}\\
 y_{10}   &  1.98311171382 & -1.02 y_{2} & -2.35 y_{9} & -5.79 y_{18} & -9.98 y_{21} & -23.10 y_{22} & +  1.45 y_{11} & +  1.24 y_{1} & + 18.34 y_{25} & -0.30 y_{12} & + 31.17 y_{27} & +  7.84 y_{19} & -2.87 y_{29} & + 15.26 y_{30} & -14.65 y_{26} & + 35.62 y_{32}\\
 y_{20}   &  0.0449517208473 & -0.04 y_{2} & -0.03 y_{9} & -0.39 y_{18} & -0.51 y_{21} & +  0.42 y_{22} & -0.02 y_{11} & +  0.07 y_{1} & +  0.20 y_{25} & -0.01 y_{12} & +  0.60 y_{27} & +  0.22 y_{19} & +  0.57 y_{29} & -0.21 y_{30} & -0.24 y_{26} & +  1.10 y_{32}\\
 y_{28}   &  0.0458934468427 & -0.08 y_{2} & -0.14 y_{9} & -0.03 y_{18} & -1.49 y_{21} & -1.88 y_{22} & +  0.11 y_{11} & +  0.02 y_{1} & +  0.63 y_{25} & +  0.04 y_{12} & +  1.92 y_{27} & -0.22 y_{19} & -1.06 y_{29} & +  0.04 y_{30} & -0.74 y_{26} & +  1.53 y_{32}\\
 y_{24}   &  0.121532878794 & +  0.05 y_{2} & -0.00 y_{9} & +  0.88 y_{18} & +  0.30 y_{21} & +  1.11 y_{22} & -0.08 y_{11} & -0.01 y_{1} & +  0.16 y_{25} & -0.07 y_{12} & -0.40 y_{27} & +  0.05 y_{19} & +  0.47 y_{29} & -0.18 y_{30} & -0.34 y_{26} & +  0.09 y_{32}\\
 y_{14}   &  0.707763589106 & +  0.10 y_{2} & -1.56 y_{9} & +  3.11 y_{18} & -19.78 y_{21} & -5.92 y_{22} & +  1.14 y_{11} & -0.01 y_{1} & +  1.57 y_{25} & +  0.61 y_{12} & + 15.44 y_{27} & +  9.12 y_{19} & -11.14 y_{29} & + 10.19 y_{30} & -19.94 y_{26} & + 15.70 y_{32}\\
 y_{15}   &  0.154455619593 & +  0.80 y_{2} & +  2.42 y_{9} & -1.82 y_{18} & + 17.11 y_{21} & + 11.11 y_{22} & -1.48 y_{11} & -1.21 y_{1} & -8.73 y_{25} & +  0.32 y_{12} & -44.53 y_{27} & +  1.68 y_{19} & +  2.41 y_{29} & -11.73 y_{30} & + 22.20 y_{26} & -28.59 y_{32}\\
 y_{23}   &  0.037355131151 & -0.09 y_{2} & +  0.09 y_{9} & -0.86 y_{18} & +  0.02 y_{21} & -0.90 y_{22} & +  0.02 y_{11} & -0.05 y_{1} & +  0.56 y_{25} & -0.02 y_{12} & +  0.07 y_{27} & -1.15 y_{19} & -0.24 y_{29} & -0.15 y_{30} & +  1.58 y_{26} & -0.80 y_{32}\\
 y_{16}   &  1.42520812144 & +  1.84 y_{2} & -0.33 y_{9} & +  9.01 y_{18} & + 11.22 y_{21} & + 24.76 y_{22} & -1.48 y_{11} & +  0.30 y_{1} & -6.84 y_{25} & -0.75 y_{12} & -13.29 y_{27} & +  9.43 y_{19} & + 12.10 y_{29} & +  1.65 y_{30} & -18.76 y_{26} & -0.26 y_{32}\\
\hline
z    &  7.24743536621 & -4.07 y_{2} & -1.07 y_{9} & -6.03 y_{18} & -57.51 y_{21} & -75.34 y_{22} & -0.62 y_{11} & -1.35 y_{1} & -54.38 y_{25} & -0.15 y_{12} & -1.55 y_{27} & -21.58 y_{19} & -17.04 y_{29} & -26.85 y_{30} & -0.86 y_{26} & -73.37 y_{32}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.06921058249 & -0.02 x_{13} & +  0.32 x_{17} & +  0.69 x_{3} & +  0.36 x_{4} & -1.29 x_{5} & -0.64 x_{6} & +  0.19 x_{7} & +  0.31 x_{8} & +  0.02 x_{31} & +  1.02 x_{10} & +  0.04 x_{20} & +  0.08 x_{28} & -0.05 x_{24} & -0.10 x_{14} & -0.80 x_{15} & +  0.09 x_{23} & -1.84 x_{16}\\
 x_{9}   &  1.06563202371 & +  2.77 x_{13} & +  3.00 x_{17} & -0.93 x_{3} & -1.22 x_{4} & -0.04 x_{5} & -1.11 x_{6} & -0.20 x_{7} & -0.32 x_{8} & +  0.18 x_{31} & +  2.35 x_{10} & +  0.03 x_{20} & +  0.14 x_{28} & +  0.00 x_{24} & +  1.56 x_{14} & -2.42 x_{15} & -0.09 x_{23} & +  0.33 x_{16}\\
 x_{18}   &  6.03066259841 & -14.67 x_{13} & +  2.61 x_{17} & +  6.80 x_{3} & + 12.82 x_{4} & -7.15 x_{5} & +  6.35 x_{6} & -7.80 x_{7} & -0.07 x_{8} & +  0.05 x_{31} & +  5.79 x_{10} & +  0.39 x_{20} & +  0.03 x_{28} & -0.88 x_{24} & -3.11 x_{14} & +  1.82 x_{15} & +  0.86 x_{23} & -9.01 x_{16}\\
 x_{21}   &  57.5138559285 & + 24.98 x_{13} & +  6.44 x_{17} & +  6.28 x_{3} & -16.42 x_{4} & -19.59 x_{5} & -9.73 x_{6} & +  7.10 x_{7} & -3.48 x_{8} & +  0.61 x_{31} & +  9.98 x_{10} & +  0.51 x_{20} & +  1.49 x_{28} & -0.30 x_{24} & + 19.78 x_{14} & -17.11 x_{15} & -0.02 x_{23} & -11.22 x_{16}\\
 x_{22}   &  75.3393227107 & + 13.20 x_{13} & +  7.75 x_{17} & + 21.66 x_{3} & -7.79 x_{4} & -34.81 x_{5} & -32.62 x_{6} & +  5.30 x_{7} & +  7.16 x_{8} & +  0.95 x_{31} & + 23.10 x_{10} & -0.42 x_{20} & +  1.88 x_{28} & -1.11 x_{24} & +  5.92 x_{14} & -11.11 x_{15} & +  0.90 x_{23} & -24.76 x_{16}\\
 x_{11}   &  0.620999234063 & -0.98 x_{13} & -1.51 x_{17} & -0.21 x_{3} & +  0.02 x_{4} & +  1.23 x_{5} & +  1.61 x_{6} & -0.78 x_{7} & -0.48 x_{8} & -0.13 x_{31} & -1.45 x_{10} & +  0.02 x_{20} & -0.11 x_{28} & +  0.08 x_{24} & -1.14 x_{14} & +  1.48 x_{15} & -0.02 x_{23} & +  1.48 x_{16}\\
 x_{1}   &  1.34546276415 & -1.18 x_{13} & -1.16 x_{17} & +  1.00 x_{3} & +  0.25 x_{4} & -0.25 x_{5} & +  0.03 x_{6} & +  0.54 x_{7} & -0.02 x_{8} & -0.07 x_{31} & -1.24 x_{10} & -0.07 x_{20} & -0.02 x_{28} & +  0.01 x_{24} & +  0.01 x_{14} & +  1.21 x_{15} & +  0.05 x_{23} & -0.30 x_{16}\\
 x_{25}   &  54.3795783579 & -12.21 x_{13} & -7.36 x_{17} & +  5.36 x_{3} & +  8.06 x_{4} & -3.41 x_{5} & +  4.52 x_{6} & -10.14 x_{7} & -7.00 x_{8} & -0.99 x_{31} & -18.34 x_{10} & -0.20 x_{20} & -0.63 x_{28} & -0.16 x_{24} & -1.57 x_{14} & +  8.73 x_{15} & -0.56 x_{23} & +  6.84 x_{16}\\
 x_{12}   &  0.146130761794 & -0.31 x_{13} & +  0.18 x_{17} & -0.84 x_{3} & +  0.02 x_{4} & +  0.79 x_{5} & +  0.52 x_{6} & -0.43 x_{7} & +  0.30 x_{8} & +  0.03 x_{31} & +  0.30 x_{10} & +  0.01 x_{20} & -0.04 x_{28} & +  0.07 x_{24} & -0.61 x_{14} & -0.32 x_{15} & +  0.02 x_{23} & +  0.75 x_{16}\\
 x_{27}   &  1.55141196118 & -28.66 x_{13} & -42.17 x_{17} & + 13.87 x_{3} & + 13.92 x_{4} & +  5.29 x_{5} & + 15.26 x_{6} & -3.80 x_{7} & -3.43 x_{8} & -2.55 x_{31} & -31.17 x_{10} & -0.60 x_{20} & -1.92 x_{28} & +  0.40 x_{24} & -15.44 x_{14} & + 44.53 x_{15} & -0.07 x_{23} & + 13.29 x_{16}\\
 x_{19}   &  21.5761102949 & -7.36 x_{13} & -0.09 x_{17} & +  4.64 x_{3} & +  1.11 x_{4} & -16.78 x_{5} & -3.18 x_{6} & +  8.75 x_{7} & -1.55 x_{8} & -0.56 x_{31} & -7.84 x_{10} & -0.22 x_{20} & +  0.22 x_{28} & -0.05 x_{24} & -9.12 x_{14} & -1.68 x_{15} & +  1.15 x_{23} & -9.43 x_{16}\\
 x_{29}   &  17.0436458608 & + 10.95 x_{13} & +  0.03 x_{17} & + 17.71 x_{3} & -8.45 x_{4} & -13.47 x_{5} & -8.90 x_{6} & +  7.03 x_{7} & +  8.65 x_{8} & +  0.70 x_{31} & +  2.87 x_{10} & -0.57 x_{20} & +  1.06 x_{28} & -0.47 x_{24} & + 11.14 x_{14} & -2.41 x_{15} & +  0.24 x_{23} & -12.10 x_{16}\\
 x_{30}   &  26.8523499203 & -8.77 x_{13} & -14.18 x_{17} & +  2.64 x_{3} & -8.46 x_{4} & +  7.29 x_{5} & + 14.86 x_{6} & +  0.78 x_{7} & -5.94 x_{8} & -0.93 x_{31} & -15.26 x_{10} & +  0.21 x_{20} & -0.04 x_{28} & +  0.18 x_{24} & -10.19 x_{14} & + 11.73 x_{15} & +  0.15 x_{23} & -1.65 x_{16}\\
 x_{26}   &  0.864278449542 & + 29.27 x_{13} & + 28.87 x_{17} & -16.28 x_{3} & -23.21 x_{4} & + 18.11 x_{5} & -12.57 x_{6} & -0.93 x_{7} & -3.83 x_{8} & +  2.19 x_{31} & + 14.65 x_{10} & +  0.24 x_{20} & +  0.74 x_{28} & +  0.34 x_{24} & + 19.94 x_{14} & -22.20 x_{15} & -1.58 x_{23} & + 18.76 x_{16}\\
 x_{32}   &  73.3710651549 & -34.38 x_{13} & -26.05 x_{17} & + 11.90 x_{3} & +  2.43 x_{4} & -9.15 x_{5} & +  8.19 x_{6} & + 10.69 x_{7} & -4.19 x_{8} & -1.91 x_{31} & -35.62 x_{10} & -1.10 x_{20} & -1.53 x_{28} & -0.09 x_{24} & -15.70 x_{14} & + 28.59 x_{15} & +  0.80 x_{23} & +  0.26 x_{16}\\
\hline
z    &  -7.24743536621 & -1.28 x_{13} & -1.82 x_{17} & -0.70 x_{3} & -0.42 x_{4} & -1.45 x_{5} & -1.41 x_{6} & -0.32 x_{7} & -0.80 x_{8} & -0.04 x_{31} & -1.98 x_{10} & -0.04 x_{20} & -0.05 x_{28} & -0.12 x_{24} & -0.71 x_{14} & -0.15 x_{15} & -0.04 x_{23} & -1.43 x_{16}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.06921058249 & -0.02 x_{13} & +  0.32 x_{17} & +  0.69 x_{3} & +  0.36 x_{4} & -1.29 x_{5} & -0.64 x_{6} & +  0.19 x_{7} & +  0.31 x_{8} & +  0.02 x_{31} & +  1.02 x_{10} & +  0.04 x_{20} & +  0.08 x_{28} & -0.05 x_{24} & -0.10 x_{14} & -0.80 x_{15} & +  0.09 x_{23} & -1.84 x_{16}\\
 x_{9}   &  1.06563202371 & +  2.77 x_{13} & +  3.00 x_{17} & -0.93 x_{3} & -1.22 x_{4} & -0.04 x_{5} & -1.11 x_{6} & -0.20 x_{7} & -0.32 x_{8} & +  0.18 x_{31} & +  2.35 x_{10} & +  0.03 x_{20} & +  0.14 x_{28} & +  0.00 x_{24} & +  1.56 x_{14} & -2.42 x_{15} & -0.09 x_{23} & +  0.33 x_{16}\\
 x_{18}   &  6.03066259841 & -14.67 x_{13} & +  2.61 x_{17} & +  6.80 x_{3} & + 12.82 x_{4} & -7.15 x_{5} & +  6.35 x_{6} & -7.80 x_{7} & -0.07 x_{8} & +  0.05 x_{31} & +  5.79 x_{10} & +  0.39 x_{20} & +  0.03 x_{28} & -0.88 x_{24} & -3.11 x_{14} & +  1.82 x_{15} & +  0.86 x_{23} & -9.01 x_{16}\\
 x_{21}   &  57.5138559285 & + 24.98 x_{13} & +  6.44 x_{17} & +  6.28 x_{3} & -16.42 x_{4} & -19.59 x_{5} & -9.73 x_{6} & +  7.10 x_{7} & -3.48 x_{8} & +  0.61 x_{31} & +  9.98 x_{10} & +  0.51 x_{20} & +  1.49 x_{28} & -0.30 x_{24} & + 19.78 x_{14} & -17.11 x_{15} & -0.02 x_{23} & -11.22 x_{16}\\
 x_{22}   &  75.3393227107 & + 13.20 x_{13} & +  7.75 x_{17} & + 21.66 x_{3} & -7.79 x_{4} & -34.81 x_{5} & -32.62 x_{6} & +  5.30 x_{7} & +  7.16 x_{8} & +  0.95 x_{31} & + 23.10 x_{10} & -0.42 x_{20} & +  1.88 x_{28} & -1.11 x_{24} & +  5.92 x_{14} & -11.11 x_{15} & +  0.90 x_{23} & -24.76 x_{16}\\
 x_{11}   &  0.620999234063 & -0.98 x_{13} & -1.51 x_{17} & -0.21 x_{3} & +  0.02 x_{4} & +  1.23 x_{5} & +  1.61 x_{6} & -0.78 x_{7} & -0.48 x_{8} & -0.13 x_{31} & -1.45 x_{10} & +  0.02 x_{20} & -0.11 x_{28} & +  0.08 x_{24} & -1.14 x_{14} & +  1.48 x_{15} & -0.02 x_{23} & +  1.48 x_{16}\\
 x_{1}   &  1.34546276415 & -1.18 x_{13} & -1.16 x_{17} & +  1.00 x_{3} & +  0.25 x_{4} & -0.25 x_{5} & +  0.03 x_{6} & +  0.54 x_{7} & -0.02 x_{8} & -0.07 x_{31} & -1.24 x_{10} & -0.07 x_{20} & -0.02 x_{28} & +  0.01 x_{24} & +  0.01 x_{14} & +  1.21 x_{15} & +  0.05 x_{23} & -0.30 x_{16}\\
 x_{25}   &  54.3795783579 & -12.21 x_{13} & -7.36 x_{17} & +  5.36 x_{3} & +  8.06 x_{4} & -3.41 x_{5} & +  4.52 x_{6} & -10.14 x_{7} & -7.00 x_{8} & -0.99 x_{31} & -18.34 x_{10} & -0.20 x_{20} & -0.63 x_{28} & -0.16 x_{24} & -1.57 x_{14} & +  8.73 x_{15} & -0.56 x_{23} & +  6.84 x_{16}\\
 x_{12}   &  0.146130761794 & -0.31 x_{13} & +  0.18 x_{17} & -0.84 x_{3} & +  0.02 x_{4} & +  0.79 x_{5} & +  0.52 x_{6} & -0.43 x_{7} & +  0.30 x_{8} & +  0.03 x_{31} & +  0.30 x_{10} & +  0.01 x_{20} & -0.04 x_{28} & +  0.07 x_{24} & -0.61 x_{14} & -0.32 x_{15} & +  0.02 x_{23} & +  0.75 x_{16}\\
 x_{27}   &  1.55141196118 & -28.66 x_{13} & -42.17 x_{17} & + 13.87 x_{3} & + 13.92 x_{4} & +  5.29 x_{5} & + 15.26 x_{6} & -3.80 x_{7} & -3.43 x_{8} & -2.55 x_{31} & -31.17 x_{10} & -0.60 x_{20} & -1.92 x_{28} & +  0.40 x_{24} & -15.44 x_{14} & + 44.53 x_{15} & -0.07 x_{23} & + 13.29 x_{16}\\
 x_{19}   &  21.5761102949 & -7.36 x_{13} & -0.09 x_{17} & +  4.64 x_{3} & +  1.11 x_{4} & -16.78 x_{5} & -3.18 x_{6} & +  8.75 x_{7} & -1.55 x_{8} & -0.56 x_{31} & -7.84 x_{10} & -0.22 x_{20} & +  0.22 x_{28} & -0.05 x_{24} & -9.12 x_{14} & -1.68 x_{15} & +  1.15 x_{23} & -9.43 x_{16}\\
 x_{29}   &  17.0436458608 & + 10.95 x_{13} & +  0.03 x_{17} & + 17.71 x_{3} & -8.45 x_{4} & -13.47 x_{5} & -8.90 x_{6} & +  7.03 x_{7} & +  8.65 x_{8} & +  0.70 x_{31} & +  2.87 x_{10} & -0.57 x_{20} & +  1.06 x_{28} & -0.47 x_{24} & + 11.14 x_{14} & -2.41 x_{15} & +  0.24 x_{23} & -12.10 x_{16}\\
 x_{30}   &  26.8523499203 & -8.77 x_{13} & -14.18 x_{17} & +  2.64 x_{3} & -8.46 x_{4} & +  7.29 x_{5} & + 14.86 x_{6} & +  0.78 x_{7} & -5.94 x_{8} & -0.93 x_{31} & -15.26 x_{10} & +  0.21 x_{20} & -0.04 x_{28} & +  0.18 x_{24} & -10.19 x_{14} & + 11.73 x_{15} & +  0.15 x_{23} & -1.65 x_{16}\\
 x_{26}   &  0.864278449542 & + 29.27 x_{13} & + 28.87 x_{17} & -16.28 x_{3} & -23.21 x_{4} & + 18.11 x_{5} & -12.57 x_{6} & -0.93 x_{7} & -3.83 x_{8} & +  2.19 x_{31} & + 14.65 x_{10} & +  0.24 x_{20} & +  0.74 x_{28} & +  0.34 x_{24} & + 19.94 x_{14} & -22.20 x_{15} & -1.58 x_{23} & + 18.76 x_{16}\\
 x_{32}   &  73.3710651549 & -34.38 x_{13} & -26.05 x_{17} & + 11.90 x_{3} & +  2.43 x_{4} & -9.15 x_{5} & +  8.19 x_{6} & + 10.69 x_{7} & -4.19 x_{8} & -1.91 x_{31} & -35.62 x_{10} & -1.10 x_{20} & -1.53 x_{28} & -0.09 x_{24} & -15.70 x_{14} & + 28.59 x_{15} & +  0.80 x_{23} & +  0.26 x_{16}\\
\hline
z    &  4.04999937218 & -8.06 x_{13} & -12.48 x_{17} & +  6.28 x_{3} & +  1.38 x_{4} & -4.35 x_{5} & +  2.52 x_{6} & +  8.83 x_{7} & +  2.40 x_{8} & -0.56 x_{31} & -8.81 x_{10} & -0.52 x_{20} & -0.16 x_{28} & -0.34 x_{24} & -1.71 x_{14} & +  6.97 x_{15} & +  0.80 x_{23} & -5.59 x_{16}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.06921058249 & -0.02 x_{13} & +  0.32 x_{17} & +  0.69 x_{3} & +  0.36 x_{4} & -1.29 x_{5} & -0.64 x_{6} & +  0.19 x_{7} & +  0.31 x_{8} & +  0.02 x_{31} & +  1.02 x_{10} & +  0.04 x_{20} & +  0.08 x_{28} & -0.05 x_{24} & -0.10 x_{14} & -0.80 x_{15} & +  0.09 x_{23} & -1.84 x_{16}\\
 x_{9}   &  1.06563202371 & +  2.77 x_{13} & +  3.00 x_{17} & -0.93 x_{3} & -1.22 x_{4} & -0.04 x_{5} & -1.11 x_{6} & -0.20 x_{7} & -0.32 x_{8} & +  0.18 x_{31} & +  2.35 x_{10} & +  0.03 x_{20} & +  0.14 x_{28} & +  0.00 x_{24} & +  1.56 x_{14} & -2.42 x_{15} & -0.09 x_{23} & +  0.33 x_{16}\\
 x_{18}   &  6.03066259841 & -14.67 x_{13} & +  2.61 x_{17} & +  6.80 x_{3} & + 12.82 x_{4} & -7.15 x_{5} & +  6.35 x_{6} & -7.80 x_{7} & -0.07 x_{8} & +  0.05 x_{31} & +  5.79 x_{10} & +  0.39 x_{20} & +  0.03 x_{28} & -0.88 x_{24} & -3.11 x_{14} & +  1.82 x_{15} & +  0.86 x_{23} & -9.01 x_{16}\\
 x_{21}   &  57.5138559285 & + 24.98 x_{13} & +  6.44 x_{17} & +  6.28 x_{3} & -16.42 x_{4} & -19.59 x_{5} & -9.73 x_{6} & +  7.10 x_{7} & -3.48 x_{8} & +  0.61 x_{31} & +  9.98 x_{10} & +  0.51 x_{20} & +  1.49 x_{28} & -0.30 x_{24} & + 19.78 x_{14} & -17.11 x_{15} & -0.02 x_{23} & -11.22 x_{16}\\
 x_{22}   &  75.3393227107 & + 13.20 x_{13} & +  7.75 x_{17} & + 21.66 x_{3} & -7.79 x_{4} & -34.81 x_{5} & -32.62 x_{6} & +  5.30 x_{7} & +  7.16 x_{8} & +  0.95 x_{31} & + 23.10 x_{10} & -0.42 x_{20} & +  1.88 x_{28} & -1.11 x_{24} & +  5.92 x_{14} & -11.11 x_{15} & +  0.90 x_{23} & -24.76 x_{16}\\
 x_{11}   &  0.620999234063 & -0.98 x_{13} & -1.51 x_{17} & -0.21 x_{3} & +  0.02 x_{4} & +  1.23 x_{5} & +  1.61 x_{6} & -0.78 x_{7} & -0.48 x_{8} & -0.13 x_{31} & -1.45 x_{10} & +  0.02 x_{20} & -0.11 x_{28} & +  0.08 x_{24} & -1.14 x_{14} & +  1.48 x_{15} & -0.02 x_{23} & +  1.48 x_{16}\\
 x_{1}   &  1.34546276415 & -1.18 x_{13} & -1.16 x_{17} & +  1.00 x_{3} & +  0.25 x_{4} & -0.25 x_{5} & +  0.03 x_{6} & +  0.54 x_{7} & -0.02 x_{8} & -0.07 x_{31} & -1.24 x_{10} & -0.07 x_{20} & -0.02 x_{28} & +  0.01 x_{24} & +  0.01 x_{14} & +  1.21 x_{15} & +  0.05 x_{23} & -0.30 x_{16}\\
 x_{25}   &  54.3795783579 & -12.21 x_{13} & -7.36 x_{17} & +  5.36 x_{3} & +  8.06 x_{4} & -3.41 x_{5} & +  4.52 x_{6} & -10.14 x_{7} & -7.00 x_{8} & -0.99 x_{31} & -18.34 x_{10} & -0.20 x_{20} & -0.63 x_{28} & -0.16 x_{24} & -1.57 x_{14} & +  8.73 x_{15} & -0.56 x_{23} & +  6.84 x_{16}\\
 x_{12}   &  0.146130761794 & -0.31 x_{13} & +  0.18 x_{17} & -0.84 x_{3} & +  0.02 x_{4} & +  0.79 x_{5} & +  0.52 x_{6} & -0.43 x_{7} & +  0.30 x_{8} & +  0.03 x_{31} & +  0.30 x_{10} & +  0.01 x_{20} & -0.04 x_{28} & +  0.07 x_{24} & -0.61 x_{14} & -0.32 x_{15} & +  0.02 x_{23} & +  0.75 x_{16}\\
 x_{27}   &  1.55141196118 & -28.66 x_{13} & -42.17 x_{17} & + 13.87 x_{3} & + 13.92 x_{4} & +  5.29 x_{5} & + 15.26 x_{6} & -3.80 x_{7} & -3.43 x_{8} & -2.55 x_{31} & -31.17 x_{10} & -0.60 x_{20} & -1.92 x_{28} & +  0.40 x_{24} & -15.44 x_{14} & + 44.53 x_{15} & -0.07 x_{23} & + 13.29 x_{16}\\
 x_{19}   &  21.5761102949 & -7.36 x_{13} & -0.09 x_{17} & +  4.64 x_{3} & +  1.11 x_{4} & -16.78 x_{5} & -3.18 x_{6} & +  8.75 x_{7} & -1.55 x_{8} & -0.56 x_{31} & -7.84 x_{10} & -0.22 x_{20} & +  0.22 x_{28} & -0.05 x_{24} & -9.12 x_{14} & -1.68 x_{15} & +  1.15 x_{23} & -9.43 x_{16}\\
 x_{29}   &  17.0436458608 & + 10.95 x_{13} & +  0.03 x_{17} & + 17.71 x_{3} & -8.45 x_{4} & -13.47 x_{5} & -8.90 x_{6} & +  7.03 x_{7} & +  8.65 x_{8} & +  0.70 x_{31} & +  2.87 x_{10} & -0.57 x_{20} & +  1.06 x_{28} & -0.47 x_{24} & + 11.14 x_{14} & -2.41 x_{15} & +  0.24 x_{23} & -12.10 x_{16}\\
 x_{30}   &  26.8523499203 & -8.77 x_{13} & -14.18 x_{17} & +  2.64 x_{3} & -8.46 x_{4} & +  7.29 x_{5} & + 14.86 x_{6} & +  0.78 x_{7} & -5.94 x_{8} & -0.93 x_{31} & -15.26 x_{10} & +  0.21 x_{20} & -0.04 x_{28} & +  0.18 x_{24} & -10.19 x_{14} & + 11.73 x_{15} & +  0.15 x_{23} & -1.65 x_{16}\\
 x_{26}   &  0.864278449542 & + 29.27 x_{13} & + 28.87 x_{17} & -16.28 x_{3} & -23.21 x_{4} & + 18.11 x_{5} & -12.57 x_{6} & -0.93 x_{7} & -3.83 x_{8} & +  2.19 x_{31} & + 14.65 x_{10} & +  0.24 x_{20} & +  0.74 x_{28} & +  0.34 x_{24} & + 19.94 x_{14} & -22.20 x_{15} & -1.58 x_{23} & + 18.76 x_{16}\\
 x_{32}   &  73.3710651549 & -34.38 x_{13} & -26.05 x_{17} & + 11.90 x_{3} & +  2.43 x_{4} & -9.15 x_{5} & +  8.19 x_{6} & + 10.69 x_{7} & -4.19 x_{8} & -1.91 x_{31} & -35.62 x_{10} & -1.10 x_{20} & -1.53 x_{28} & -0.09 x_{24} & -15.70 x_{14} & + 28.59 x_{15} & +  0.80 x_{23} & +  0.26 x_{16}\\
\hline
z    &  4.04999937218 & -8.06 x_{13} & -12.48 x_{17} & +  6.28 x_{3} & +  1.38 x_{4} & -4.35 x_{5} & +  2.52 x_{6} & +  8.83 x_{7} & +  2.40 x_{8} & -0.56 x_{31} & -8.81 x_{10} & -0.52 x_{20} & -0.16 x_{28} & -0.34 x_{24} & -1.71 x_{14} & +  6.97 x_{15} & +  0.80 x_{23} & -5.59 x_{16}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.10586344973 & +  1.22 x_{13} & +  1.54 x_{17} & -0.04 x_{26} & -0.63 x_{4} & -0.52 x_{5} & -1.17 x_{6} & +  0.15 x_{7} & +  0.15 x_{8} & +  0.11 x_{31} & +  1.65 x_{10} & +  0.05 x_{20} & +  0.11 x_{28} & -0.03 x_{24} & +  0.74 x_{14} & -1.74 x_{15} & +  0.02 x_{23} & -1.05 x_{16}\\
 x_{9}   &  1.01602685001 & +  1.09 x_{13} & +  1.34 x_{17} & +  0.06 x_{26} & +  0.11 x_{4} & -1.08 x_{5} & -0.39 x_{6} & -0.15 x_{7} & -0.10 x_{8} & +  0.06 x_{31} & +  1.51 x_{10} & +  0.02 x_{20} & +  0.10 x_{28} & -0.01 x_{24} & +  0.41 x_{14} & -1.14 x_{15} & -0.00 x_{23} & -0.74 x_{16}\\
 x_{18}   &  6.39194314661 & -2.44 x_{13} & + 14.67 x_{17} & -0.42 x_{26} & +  3.12 x_{4} & +  0.42 x_{5} & +  1.09 x_{6} & -8.18 x_{7} & -1.67 x_{8} & +  0.97 x_{31} & + 11.92 x_{10} & +  0.49 x_{20} & +  0.34 x_{28} & -0.74 x_{24} & +  5.22 x_{14} & -7.46 x_{15} & +  0.20 x_{23} & -1.17 x_{16}\\
 x_{21}   &  57.8470958132 & + 36.27 x_{13} & + 17.57 x_{17} & -0.39 x_{26} & -25.37 x_{4} & -12.60 x_{5} & -14.58 x_{6} & +  6.74 x_{7} & -4.95 x_{8} & +  1.46 x_{31} & + 15.63 x_{10} & +  0.60 x_{20} & +  1.78 x_{28} & -0.17 x_{24} & + 27.46 x_{14} & -25.67 x_{15} & -0.63 x_{23} & -3.99 x_{16}\\
 x_{22}   &  76.4891479165 & + 52.15 x_{13} & + 46.15 x_{17} & -1.33 x_{26} & -38.67 x_{4} & -10.72 x_{5} & -49.34 x_{6} & +  4.07 x_{7} & +  2.06 x_{8} & +  3.86 x_{31} & + 42.60 x_{10} & -0.10 x_{20} & +  2.87 x_{28} & -0.66 x_{24} & + 32.45 x_{14} & -40.65 x_{15} & -1.20 x_{23} & +  0.21 x_{16}\\
 x_{11}   &  0.609702966784 & -1.36 x_{13} & -1.88 x_{17} & +  0.01 x_{26} & +  0.32 x_{4} & +  1.00 x_{5} & +  1.78 x_{6} & -0.77 x_{7} & -0.43 x_{8} & -0.16 x_{31} & -1.64 x_{10} & +  0.02 x_{20} & -0.12 x_{28} & +  0.08 x_{24} & -1.41 x_{14} & +  1.77 x_{15} & -0.00 x_{23} & +  1.24 x_{16}\\
 x_{1}   &  1.39862402199 & +  0.62 x_{13} & +  0.61 x_{17} & -0.06 x_{26} & -1.18 x_{4} & +  0.86 x_{5} & -0.74 x_{6} & +  0.48 x_{7} & -0.25 x_{8} & +  0.06 x_{31} & -0.34 x_{10} & -0.05 x_{20} & +  0.02 x_{28} & +  0.03 x_{24} & +  1.24 x_{14} & -0.16 x_{15} & -0.05 x_{23} & +  0.86 x_{16}\\
 x_{25}   &  54.6639390861 & -2.58 x_{13} & +  2.14 x_{17} & -0.33 x_{26} & +  0.42 x_{4} & +  2.55 x_{5} & +  0.38 x_{6} & -10.45 x_{7} & -8.26 x_{8} & -0.27 x_{31} & -13.52 x_{10} & -0.12 x_{20} & -0.39 x_{28} & -0.05 x_{24} & +  4.99 x_{14} & +  1.43 x_{15} & -1.08 x_{23} & + 13.01 x_{16}\\
 x_{12}   &  0.101415703798 & -1.83 x_{13} & -1.32 x_{17} & +  0.05 x_{26} & +  1.22 x_{4} & -0.14 x_{5} & +  1.17 x_{6} & -0.38 x_{7} & +  0.50 x_{8} & -0.08 x_{31} & -0.46 x_{10} & +  0.00 x_{20} & -0.07 x_{28} & +  0.05 x_{24} & -1.64 x_{14} & +  0.83 x_{15} & +  0.10 x_{23} & -0.22 x_{16}\\
 x_{27}   &  2.28801738987 & -3.71 x_{13} & -17.57 x_{17} & -0.85 x_{26} & -5.86 x_{4} & + 20.72 x_{5} & +  4.54 x_{6} & -4.59 x_{7} & -6.70 x_{8} & -0.69 x_{31} & -18.69 x_{10} & -0.40 x_{20} & -1.29 x_{28} & +  0.69 x_{24} & +  1.55 x_{14} & + 25.61 x_{15} & -1.42 x_{23} & + 29.28 x_{16}\\
 x_{19}   &  21.8222961199 & +  0.98 x_{13} & +  8.13 x_{17} & -0.28 x_{26} & -5.50 x_{4} & -11.62 x_{5} & -6.76 x_{6} & +  8.49 x_{7} & -2.64 x_{8} & +  0.07 x_{31} & -3.67 x_{10} & -0.16 x_{20} & +  0.43 x_{28} & +  0.04 x_{24} & -3.44 x_{14} & -8.01 x_{15} & +  0.70 x_{23} & -4.09 x_{16}\\
 x_{29}   &  17.9840981127 & + 42.80 x_{13} & + 31.45 x_{17} & -1.09 x_{26} & -33.70 x_{4} & +  6.23 x_{5} & -22.58 x_{6} & +  6.02 x_{7} & +  4.48 x_{8} & +  3.08 x_{31} & + 18.82 x_{10} & -0.31 x_{20} & +  1.87 x_{28} & -0.11 x_{24} & + 32.84 x_{14} & -26.56 x_{15} & -1.48 x_{23} & +  8.32 x_{16}\\
 x_{30}   &  26.992529237 & -4.03 x_{13} & -9.50 x_{17} & -0.16 x_{26} & -12.22 x_{4} & + 10.22 x_{5} & + 12.82 x_{6} & +  0.63 x_{7} & -6.56 x_{8} & -0.57 x_{31} & -12.89 x_{10} & +  0.25 x_{20} & +  0.08 x_{28} & +  0.24 x_{24} & -6.95 x_{14} & +  8.13 x_{15} & -0.10 x_{23} & +  1.39 x_{16}\\
 x_{3}   &  0.0530952562776 & +  1.80 x_{13} & +  1.77 x_{17} & -0.06 x_{26} & -1.43 x_{4} & +  1.11 x_{5} & -0.77 x_{6} & -0.06 x_{7} & -0.24 x_{8} & +  0.13 x_{31} & +  0.90 x_{10} & +  0.01 x_{20} & +  0.05 x_{28} & +  0.02 x_{24} & +  1.22 x_{14} & -1.36 x_{15} & -0.10 x_{23} & +  1.15 x_{16}\\
 x_{32}   &  74.0029721063 & -12.98 x_{13} & -4.94 x_{17} & -0.73 x_{26} & -14.54 x_{4} & +  4.09 x_{5} & -1.01 x_{6} & + 10.01 x_{7} & -6.99 x_{8} & -0.31 x_{31} & -24.91 x_{10} & -0.93 x_{20} & -0.99 x_{28} & +  0.16 x_{24} & -1.12 x_{14} & + 12.36 x_{15} & -0.36 x_{23} & + 13.98 x_{16}\\
\hline
z    &  4.38368326742 & +  3.24 x_{13} & -1.34 x_{17} & -0.39 x_{26} & -7.58 x_{4} & +  2.64 x_{5} & -2.34 x_{6} & +  8.48 x_{7} & +  0.92 x_{8} & +  0.28 x_{31} & -3.15 x_{10} & -0.43 x_{20} & +  0.13 x_{28} & -0.21 x_{24} & +  5.99 x_{14} & -1.60 x_{15} & +  0.19 x_{23} & +  1.66 x_{16}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.73798176155 & +  7.84 x_{13} & +  6.32 x_{17} & -0.23 x_{26} & -5.05 x_{4} & +  3.63 x_{12} & -5.42 x_{6} & +  1.52 x_{7} & -1.66 x_{8} & +  0.41 x_{31} & +  3.32 x_{10} & +  0.05 x_{20} & +  0.38 x_{28} & -0.22 x_{24} & +  6.69 x_{14} & -4.75 x_{15} & -0.34 x_{23} & -0.25 x_{16}\\
 x_{9}   &  0.258040304725 & + 14.73 x_{13} & + 11.20 x_{17} & -0.33 x_{26} & -9.00 x_{4} & +  7.47 x_{12} & -9.14 x_{6} & +  2.67 x_{7} & -3.82 x_{8} & +  0.67 x_{31} & +  4.96 x_{10} & +  0.01 x_{20} & +  0.66 x_{28} & -0.40 x_{24} & + 12.67 x_{14} & -7.35 x_{15} & -0.74 x_{23} & +  0.91 x_{16}\\
 x_{18}   &  6.68525537584 & -7.72 x_{13} & + 10.86 x_{17} & -0.27 x_{26} & +  6.64 x_{4} & -2.89 x_{12} & +  4.48 x_{6} & -9.28 x_{7} & -0.23 x_{8} & +  0.73 x_{31} & + 10.58 x_{10} & +  0.49 x_{20} & +  0.13 x_{28} & -0.59 x_{24} & +  0.48 x_{14} & -5.06 x_{15} & +  0.49 x_{23} & -1.81 x_{16}\\
 x_{21}   &  48.9630727662 & + 196.16 x_{13} & + 133.02 x_{17} & -4.92 x_{26} & -132.24 x_{4} & + 87.60 x_{12} & -117.16 x_{6} & + 39.82 x_{7} & -48.53 x_{8} & +  8.64 x_{31} & + 56.07 x_{10} & +  0.45 x_{20} & +  8.31 x_{28} & -4.69 x_{24} & + 171.10 x_{14} & -98.38 x_{15} & -9.30 x_{23} & + 15.35 x_{16}\\
 x_{22}   &  68.9353022854 & + 188.10 x_{13} & + 144.32 x_{17} & -5.18 x_{26} & -129.53 x_{4} & + 74.48 x_{12} & -136.56 x_{6} & + 32.20 x_{7} & -34.99 x_{8} & +  9.97 x_{31} & + 76.98 x_{10} & -0.22 x_{20} & +  8.42 x_{28} & -4.50 x_{24} & + 154.58 x_{14} & -102.47 x_{15} & -8.57 x_{23} & + 16.65 x_{16}\\
 x_{11}   &  1.31305587871 & -14.02 x_{13} & -11.02 x_{17} & +  0.37 x_{26} & +  8.78 x_{4} & -6.94 x_{12} & +  9.90 x_{6} & -3.39 x_{7} & +  3.02 x_{8} & -0.73 x_{31} & -4.84 x_{10} & +  0.03 x_{20} & -0.64 x_{28} & +  0.44 x_{24} & -12.78 x_{14} & +  7.53 x_{15} & +  0.68 x_{23} & -0.29 x_{16}\\
 x_{1}   &  2.00532893009 & -10.30 x_{13} & -7.27 x_{17} & +  0.25 x_{26} & +  6.12 x_{4} & -5.98 x_{12} & +  6.26 x_{6} & -1.77 x_{7} & +  2.72 x_{8} & -0.43 x_{31} & -3.10 x_{10} & -0.04 x_{20} & -0.42 x_{28} & +  0.34 x_{24} & -8.57 x_{14} & +  4.81 x_{15} & +  0.54 x_{23} & -0.46 x_{16}\\
 x_{25}   &  56.4629414193 & -34.95 x_{13} & -21.24 x_{17} & +  0.59 x_{26} & + 22.06 x_{4} & -17.74 x_{12} & + 21.15 x_{6} & -17.15 x_{7} & +  0.56 x_{8} & -1.72 x_{31} & -21.71 x_{10} & -0.09 x_{20} & -1.71 x_{28} & +  0.86 x_{24} & -24.09 x_{14} & + 16.15 x_{15} & +  0.67 x_{23} & +  9.09 x_{16}\\
 x_{5}   &  0.704844823057 & -12.69 x_{13} & -9.16 x_{17} & +  0.36 x_{26} & +  8.48 x_{4} & -6.95 x_{12} & +  8.14 x_{6} & -2.62 x_{7} & +  3.46 x_{8} & -0.57 x_{31} & -3.21 x_{10} & +  0.01 x_{20} & -0.52 x_{28} & +  0.36 x_{24} & -11.40 x_{14} & +  5.77 x_{15} & +  0.69 x_{23} & -1.53 x_{16}\\
 x_{27}   &  16.8928584831 & -266.56 x_{13} & -207.37 x_{17} & +  6.60 x_{26} & + 169.82 x_{4} & -144.01 x_{12} & + 173.17 x_{6} & -58.97 x_{7} & + 64.93 x_{8} & -12.50 x_{31} & -85.16 x_{10} & -0.16 x_{20} & -12.02 x_{28} & +  8.12 x_{24} & -234.58 x_{14} & + 145.14 x_{15} & + 12.83 x_{23} & -2.51 x_{16}\\
 x_{19}   &  13.6336172928 & + 148.35 x_{13} & + 114.55 x_{17} & -4.46 x_{26} & -104.00 x_{4} & + 80.74 x_{12} & -101.31 x_{6} & + 38.98 x_{7} & -42.80 x_{8} & +  6.69 x_{31} & + 33.61 x_{10} & -0.29 x_{20} & +  6.45 x_{28} & -4.12 x_{24} & + 128.95 x_{14} & -75.03 x_{15} & -7.29 x_{23} & + 13.74 x_{16}\\
 x_{29}   &  22.3776410102 & -36.27 x_{13} & -25.65 x_{17} & +  1.15 x_{26} & + 19.15 x_{4} & -43.32 x_{12} & + 28.15 x_{6} & -10.34 x_{7} & + 26.02 x_{8} & -0.48 x_{31} & -1.18 x_{10} & -0.24 x_{20} & -1.36 x_{28} & +  2.13 x_{24} & -38.19 x_{14} & +  9.40 x_{15} & +  2.80 x_{23} & -1.25 x_{16}\\
 x_{30}   &  34.1985964649 & -133.72 x_{13} & -103.15 x_{17} & +  3.51 x_{26} & + 74.46 x_{4} & -71.05 x_{12} & + 96.02 x_{6} & -26.21 x_{7} & + 28.79 x_{8} & -6.40 x_{31} & -45.69 x_{10} & +  0.37 x_{20} & -5.22 x_{28} & +  3.90 x_{24} & -123.46 x_{14} & + 67.10 x_{15} & +  6.93 x_{23} & -14.30 x_{16}\\
 x_{3}   &  0.837167410966 & -12.31 x_{13} & -8.42 x_{17} & +  0.34 x_{26} & +  8.01 x_{4} & -7.73 x_{12} & +  8.28 x_{6} & -2.98 x_{7} & +  3.61 x_{8} & -0.50 x_{31} & -2.67 x_{10} & +  0.03 x_{20} & -0.53 x_{28} & +  0.42 x_{24} & -11.45 x_{14} & +  5.05 x_{15} & +  0.67 x_{23} & -0.55 x_{16}\\
 x_{32}   &  76.8858408076 & -64.86 x_{13} & -42.40 x_{17} & +  0.74 x_{26} & + 20.14 x_{4} & -28.43 x_{12} & + 32.28 x_{6} & -0.72 x_{7} & +  7.15 x_{8} & -2.64 x_{31} & -38.03 x_{10} & -0.88 x_{20} & -3.11 x_{28} & +  1.62 x_{24} & -47.73 x_{14} & + 35.95 x_{15} & +  2.45 x_{23} & +  7.71 x_{16}\\
\hline
z    &  6.24610650355 & -30.28 x_{13} & -25.54 x_{17} & +  0.56 x_{26} & + 14.82 x_{4} & -18.36 x_{12} & + 19.17 x_{6} & +  1.54 x_{7} & + 10.05 x_{8} & -1.23 x_{31} & -11.63 x_{10} & -0.40 x_{20} & -1.24 x_{28} & +  0.74 x_{24} & -24.12 x_{14} & + 13.64 x_{15} & +  2.01 x_{23} & -2.40 x_{16}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.59315846065 & -0.42 x_{13} & +  0.04 x_{17} & -0.05 x_{26} & +  0.56 x_{9} & -0.57 x_{12} & -0.29 x_{6} & +  0.02 x_{7} & +  0.49 x_{8} & +  0.03 x_{31} & +  0.54 x_{10} & +  0.04 x_{20} & +  0.01 x_{28} & +  0.00 x_{24} & -0.42 x_{14} & -0.63 x_{15} & +  0.08 x_{23} & -0.75 x_{16}\\
 x_{4}   &  0.0286564477007 & +  1.64 x_{13} & +  1.24 x_{17} & -0.04 x_{26} & -0.11 x_{9} & +  0.83 x_{12} & -1.02 x_{6} & +  0.30 x_{7} & -0.42 x_{8} & +  0.07 x_{31} & +  0.55 x_{10} & +  0.00 x_{20} & +  0.07 x_{28} & -0.04 x_{24} & +  1.41 x_{14} & -0.82 x_{15} & -0.08 x_{23} & +  0.10 x_{16}\\
 x_{18}   &  6.87564702058 & +  3.15 x_{13} & + 19.12 x_{17} & -0.51 x_{26} & -0.74 x_{9} & +  2.62 x_{12} & -2.27 x_{6} & -7.30 x_{7} & -3.05 x_{8} & +  1.23 x_{31} & + 14.24 x_{10} & +  0.50 x_{20} & +  0.61 x_{28} & -0.88 x_{24} & +  9.82 x_{14} & -10.48 x_{15} & -0.06 x_{23} & -1.14 x_{16}\\
 x_{21}   &  45.1735390463 & -20.13 x_{13} & -31.39 x_{17} & -0.08 x_{26} & + 14.69 x_{9} & -22.16 x_{12} & + 17.10 x_{6} & +  0.55 x_{7} & +  7.53 x_{8} & -1.23 x_{31} & -16.77 x_{10} & +  0.33 x_{20} & -1.32 x_{28} & +  1.18 x_{24} & -14.93 x_{14} & +  9.54 x_{15} & +  1.62 x_{23} & +  2.05 x_{16}\\
 x_{22}   &  65.2233002426 & -23.76 x_{13} & -16.73 x_{17} & -0.45 x_{26} & + 14.39 x_{9} & -33.03 x_{12} & -5.06 x_{6} & -6.27 x_{7} & + 19.92 x_{8} & +  0.30 x_{31} & +  5.64 x_{10} & -0.34 x_{20} & -1.01 x_{28} & +  1.25 x_{24} & -27.65 x_{14} & +  3.24 x_{15} & +  2.12 x_{23} & +  3.62 x_{16}\\
 x_{11}   &  1.56477707484 & +  0.35 x_{13} & -0.10 x_{17} & +  0.05 x_{26} & -0.98 x_{9} & +  0.36 x_{12} & +  0.98 x_{6} & -0.78 x_{7} & -0.70 x_{8} & -0.07 x_{31} & -0.00 x_{10} & +  0.04 x_{20} & +  0.00 x_{28} & +  0.05 x_{24} & -0.42 x_{14} & +  0.36 x_{15} & -0.04 x_{23} & +  0.59 x_{16}\\
 x_{1}   &  2.18059063289 & -0.29 x_{13} & +  0.33 x_{17} & +  0.02 x_{26} & -0.68 x_{9} & -0.91 x_{12} & +  0.06 x_{6} & +  0.04 x_{7} & +  0.13 x_{8} & +  0.03 x_{31} & +  0.27 x_{10} & -0.04 x_{20} & +  0.02 x_{28} & +  0.07 x_{24} & +  0.03 x_{14} & -0.19 x_{15} & +  0.04 x_{23} & +  0.15 x_{16}\\
 x_{25}   &  57.0950963967 & +  1.13 x_{13} & +  6.19 x_{17} & -0.22 x_{26} & -2.45 x_{9} & +  0.57 x_{12} & -1.24 x_{6} & -10.59 x_{7} & -8.79 x_{8} & -0.07 x_{31} & -9.56 x_{10} & -0.07 x_{20} & -0.11 x_{28} & -0.12 x_{24} & +  6.94 x_{14} & -1.85 x_{15} & -1.15 x_{23} & + 11.31 x_{16}\\
 x_{5}   &  0.947813257983 & +  1.18 x_{13} & +  1.38 x_{17} & +  0.05 x_{26} & -0.94 x_{9} & +  0.09 x_{12} & -0.47 x_{6} & -0.11 x_{7} & -0.14 x_{8} & +  0.06 x_{31} & +  1.46 x_{10} & +  0.02 x_{20} & +  0.10 x_{28} & -0.02 x_{24} & +  0.53 x_{14} & -1.15 x_{15} & -0.01 x_{23} & -0.68 x_{16}\\
 x_{27}   &  21.7593958641 & + 11.19 x_{13} & +  3.77 x_{17} & +  0.39 x_{26} & -18.86 x_{9} & -3.05 x_{12} & +  0.76 x_{6} & -8.53 x_{7} & -7.05 x_{8} & +  0.18 x_{31} & +  8.37 x_{10} & +  0.00 x_{20} & +  0.35 x_{28} & +  0.57 x_{24} & +  4.33 x_{14} & +  6.55 x_{15} & -1.19 x_{23} & + 14.57 x_{16}\\
 x_{19}   &  10.6533219974 & -21.74 x_{13} & -14.75 x_{17} & -0.66 x_{26} & + 11.55 x_{9} & -5.58 x_{12} & +  4.27 x_{6} & +  8.09 x_{7} & +  1.28 x_{8} & -1.07 x_{31} & -23.67 x_{10} & -0.39 x_{20} & -1.13 x_{28} & +  0.50 x_{24} & -17.36 x_{14} & +  9.85 x_{15} & +  1.30 x_{23} & +  3.28 x_{16}\\
 x_{29}   &  22.926333425 & -4.95 x_{13} & -1.85 x_{17} & +  0.45 x_{26} & -2.13 x_{9} & -27.43 x_{12} & +  8.71 x_{6} & -4.65 x_{7} & + 17.91 x_{8} & +  0.95 x_{31} & +  9.37 x_{10} & -0.22 x_{20} & +  0.04 x_{28} & +  1.28 x_{24} & -11.26 x_{14} & -6.23 x_{15} & +  1.22 x_{23} & +  0.68 x_{16}\\
 x_{30}   &  36.3324247956 & -11.93 x_{13} & -10.57 x_{17} & +  0.79 x_{26} & -8.27 x_{9} & -9.25 x_{12} & + 20.43 x_{6} & -4.09 x_{7} & -2.78 x_{8} & -0.84 x_{31} & -4.68 x_{10} & +  0.44 x_{20} & +  0.20 x_{28} & +  0.59 x_{24} & -18.71 x_{14} & +  6.34 x_{15} & +  0.78 x_{23} & -6.81 x_{16}\\
 x_{3}   &  1.06658998275 & +  0.78 x_{13} & +  1.54 x_{17} & +  0.05 x_{26} & -0.89 x_{9} & -1.09 x_{12} & +  0.15 x_{6} & -0.60 x_{7} & +  0.22 x_{8} & +  0.10 x_{31} & +  1.74 x_{10} & +  0.03 x_{20} & +  0.05 x_{28} & +  0.06 x_{24} & -0.19 x_{14} & -1.48 x_{15} & +  0.01 x_{23} & +  0.25 x_{16}\\
 x_{32}   &  77.4628541422 & -31.93 x_{13} & -17.37 x_{17} & +  0.00 x_{26} & -2.24 x_{9} & -11.71 x_{12} & + 11.84 x_{6} & +  5.26 x_{7} & -1.38 x_{8} & -1.14 x_{31} & -26.94 x_{10} & -0.86 x_{20} & -1.64 x_{28} & +  0.73 x_{24} & -19.40 x_{14} & + 19.52 x_{15} & +  0.79 x_{23} & +  9.73 x_{16}\\
\hline
z    &  6.67080093021 & -6.04 x_{13} & -7.11 x_{17} & +  0.02 x_{26} & -1.65 x_{9} & -6.06 x_{12} & +  4.12 x_{6} & +  5.94 x_{7} & +  3.77 x_{8} & -0.12 x_{31} & -3.47 x_{10} & -0.39 x_{20} & -0.16 x_{28} & +  0.08 x_{24} & -3.27 x_{14} & +  1.55 x_{15} & +  0.79 x_{23} & -0.91 x_{16}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.58493571323 & -0.89 x_{13} & -0.32 x_{17} & -0.03 x_{26} & +  0.59 x_{9} & -0.81 x_{12} & +  0.29 x_{4} & -0.07 x_{7} & +  0.61 x_{8} & +  0.01 x_{31} & +  0.38 x_{10} & +  0.04 x_{20} & -0.01 x_{28} & +  0.02 x_{24} & -0.82 x_{14} & -0.39 x_{15} & +  0.10 x_{23} & -0.78 x_{16}\\
 x_{6}   &  0.0282270644838 & +  1.61 x_{13} & +  1.22 x_{17} & -0.04 x_{26} & -0.11 x_{9} & +  0.82 x_{12} & -0.99 x_{4} & +  0.29 x_{7} & -0.42 x_{8} & +  0.07 x_{31} & +  0.54 x_{10} & +  0.00 x_{20} & +  0.07 x_{28} & -0.04 x_{24} & +  1.39 x_{14} & -0.80 x_{15} & -0.08 x_{23} & +  0.10 x_{16}\\
 x_{18}   &  6.81160610191 & -0.51 x_{13} & + 16.34 x_{17} & -0.43 x_{26} & -0.49 x_{9} & +  0.77 x_{12} & +  2.23 x_{4} & -7.97 x_{7} & -2.10 x_{8} & +  1.06 x_{31} & + 13.01 x_{10} & +  0.50 x_{20} & +  0.45 x_{28} & -0.78 x_{24} & +  6.68 x_{14} & -8.66 x_{15} & +  0.12 x_{23} & -1.36 x_{16}\\
 x_{21}   &  45.6561027275 & +  7.41 x_{13} & -10.45 x_{17} & -0.70 x_{26} & + 12.82 x_{9} & -8.19 x_{12} & -16.84 x_{4} & +  5.55 x_{7} & +  0.39 x_{8} & +  0.02 x_{31} & -7.49 x_{10} & +  0.35 x_{20} & -0.10 x_{28} & +  0.43 x_{24} & +  8.76 x_{14} & -4.20 x_{15} & +  0.23 x_{23} & +  3.74 x_{16}\\
 x_{22}   &  65.0805596151 & -31.91 x_{13} & -22.92 x_{17} & -0.26 x_{26} & + 14.94 x_{9} & -37.17 x_{12} & +  4.98 x_{4} & -7.75 x_{7} & + 22.04 x_{8} & -0.07 x_{31} & +  2.89 x_{10} & -0.35 x_{20} & -1.38 x_{28} & +  1.48 x_{24} & -34.66 x_{14} & +  7.31 x_{15} & +  2.53 x_{23} & +  3.12 x_{16}\\
 x_{11}   &  1.59243994154 & +  1.93 x_{13} & +  1.10 x_{17} & +  0.02 x_{26} & -1.08 x_{9} & +  1.16 x_{12} & -0.97 x_{4} & -0.49 x_{7} & -1.11 x_{8} & +  0.00 x_{31} & +  0.53 x_{10} & +  0.04 x_{20} & +  0.07 x_{28} & +  0.00 x_{24} & +  0.94 x_{14} & -0.43 x_{15} & -0.12 x_{23} & +  0.69 x_{16}\\
 x_{1}   &  2.18215405836 & -0.20 x_{13} & +  0.40 x_{17} & +  0.02 x_{26} & -0.69 x_{9} & -0.86 x_{12} & -0.05 x_{4} & +  0.06 x_{7} & +  0.11 x_{8} & +  0.03 x_{31} & +  0.30 x_{10} & -0.04 x_{20} & +  0.03 x_{28} & +  0.07 x_{24} & +  0.11 x_{14} & -0.23 x_{15} & +  0.04 x_{23} & +  0.16 x_{16}\\
 x_{25}   &  57.059968144 & -0.88 x_{13} & +  4.66 x_{17} & -0.17 x_{26} & -2.31 x_{9} & -0.45 x_{12} & +  1.23 x_{4} & -10.96 x_{7} & -8.27 x_{8} & -0.17 x_{31} & -10.24 x_{10} & -0.07 x_{20} & -0.19 x_{28} & -0.06 x_{24} & +  5.21 x_{14} & -0.85 x_{15} & -1.05 x_{23} & + 11.19 x_{16}\\
 x_{5}   &  0.934563785941 & +  0.43 x_{13} & +  0.81 x_{17} & +  0.07 x_{26} & -0.89 x_{9} & -0.30 x_{12} & +  0.46 x_{4} & -0.24 x_{7} & +  0.06 x_{8} & +  0.03 x_{31} & +  1.21 x_{10} & +  0.02 x_{20} & +  0.07 x_{28} & +  0.00 x_{24} & -0.12 x_{14} & -0.77 x_{15} & +  0.03 x_{23} & -0.73 x_{16}\\
 x_{27}   &  21.7809487841 & + 12.42 x_{13} & +  4.70 x_{17} & +  0.36 x_{26} & -18.94 x_{9} & -2.43 x_{12} & -0.75 x_{4} & -8.31 x_{7} & -7.37 x_{8} & +  0.24 x_{31} & +  8.78 x_{10} & +  0.00 x_{20} & +  0.40 x_{28} & +  0.54 x_{24} & +  5.39 x_{14} & +  5.94 x_{15} & -1.25 x_{23} & + 14.65 x_{16}\\
 x_{19}   &  10.7739043334 & -14.86 x_{13} & -9.52 x_{17} & -0.81 x_{26} & + 11.08 x_{9} & -2.09 x_{12} & -4.21 x_{4} & +  9.34 x_{7} & -0.50 x_{8} & -0.76 x_{31} & -21.35 x_{10} & -0.38 x_{20} & -0.82 x_{28} & +  0.31 x_{24} & -11.44 x_{14} & +  6.41 x_{15} & +  0.95 x_{23} & +  3.70 x_{16}\\
 x_{29}   &  23.1722688386 & +  9.08 x_{13} & +  8.82 x_{17} & +  0.14 x_{26} & -3.08 x_{9} & -20.31 x_{12} & -8.58 x_{4} & -2.10 x_{7} & + 14.27 x_{8} & +  1.59 x_{31} & + 14.09 x_{10} & -0.21 x_{20} & +  0.66 x_{28} & +  0.90 x_{24} & +  0.82 x_{14} & -13.23 x_{15} & +  0.51 x_{23} & +  1.54 x_{16}\\
 x_{30}   &  36.9090132843 & + 20.98 x_{13} & + 14.44 x_{17} & +  0.06 x_{26} & -10.50 x_{9} & +  7.45 x_{12} & -20.12 x_{4} & +  1.89 x_{7} & -11.31 x_{8} & +  0.66 x_{31} & +  6.41 x_{10} & +  0.46 x_{20} & +  1.67 x_{28} & -0.30 x_{24} & +  9.60 x_{14} & -10.08 x_{15} & -0.88 x_{23} & -4.78 x_{16}\\
 x_{3}   &  1.07090428414 & +  1.03 x_{13} & +  1.72 x_{17} & +  0.04 x_{26} & -0.91 x_{9} & -0.96 x_{12} & -0.15 x_{4} & -0.55 x_{7} & +  0.15 x_{8} & +  0.11 x_{31} & +  1.82 x_{10} & +  0.04 x_{20} & +  0.06 x_{28} & +  0.06 x_{24} & +  0.02 x_{14} & -1.60 x_{15} & -0.01 x_{23} & +  0.27 x_{16}\\
 x_{32}   &  77.7970081611 & -12.86 x_{13} & -2.87 x_{17} & -0.42 x_{26} & -3.53 x_{9} & -2.03 x_{12} & -11.66 x_{4} & +  8.72 x_{7} & -6.33 x_{8} & -0.27 x_{31} & -20.52 x_{10} & -0.85 x_{20} & -0.79 x_{28} & +  0.21 x_{24} & -3.00 x_{14} & + 10.01 x_{15} & -0.17 x_{23} & + 10.90 x_{16}\\
\hline
z    &  6.78715578253 & +  0.60 x_{13} & -2.07 x_{17} & -0.13 x_{26} & -2.10 x_{9} & -2.69 x_{12} & -4.06 x_{4} & +  7.15 x_{7} & +  2.05 x_{8} & +  0.18 x_{31} & -1.23 x_{10} & -0.38 x_{20} & +  0.14 x_{28} & -0.10 x_{24} & +  2.44 x_{14} & -1.77 x_{15} & +  0.45 x_{23} & -0.50 x_{16}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.52758634801 & -0.89 x_{13} & -0.46 x_{17} & -0.03 x_{26} & +  0.60 x_{9} & -0.81 x_{12} & +  0.27 x_{4} & +  0.01 x_{18} & +  0.63 x_{8} & +  0.00 x_{31} & +  0.27 x_{10} & +  0.04 x_{20} & -0.01 x_{28} & +  0.02 x_{24} & -0.88 x_{14} & -0.32 x_{15} & +  0.10 x_{23} & -0.77 x_{16}\\
 x_{6}   &  0.278346023294 & +  1.59 x_{13} & +  1.82 x_{17} & -0.05 x_{26} & -0.13 x_{9} & +  0.85 x_{12} & -0.90 x_{4} & -0.04 x_{18} & -0.49 x_{8} & +  0.11 x_{31} & +  1.02 x_{10} & +  0.02 x_{20} & +  0.09 x_{28} & -0.07 x_{24} & +  1.63 x_{14} & -1.12 x_{15} & -0.08 x_{23} & +  0.05 x_{16}\\
 x_{7}   &  0.854916963466 & -0.06 x_{13} & +  2.05 x_{17} & -0.05 x_{26} & -0.06 x_{9} & +  0.10 x_{12} & +  0.28 x_{4} & -0.13 x_{18} & -0.26 x_{8} & +  0.13 x_{31} & +  1.63 x_{10} & +  0.06 x_{20} & +  0.06 x_{28} & -0.10 x_{24} & +  0.84 x_{14} & -1.09 x_{15} & +  0.02 x_{23} & -0.17 x_{16}\\
 x_{21}   &  50.3980498257 & +  7.06 x_{13} & +  0.92 x_{17} & -1.00 x_{26} & + 12.47 x_{9} & -7.65 x_{12} & -15.28 x_{4} & -0.70 x_{18} & -1.07 x_{8} & +  0.76 x_{31} & +  1.56 x_{10} & +  0.69 x_{20} & +  0.21 x_{28} & -0.11 x_{24} & + 13.41 x_{14} & -10.23 x_{15} & +  0.31 x_{23} & +  2.79 x_{16}\\
 x_{22}   &  58.4536049724 & -31.42 x_{13} & -38.82 x_{17} & +  0.15 x_{26} & + 15.41 x_{9} & -37.91 x_{12} & +  2.81 x_{4} & +  0.97 x_{18} & + 24.08 x_{8} & -1.10 x_{31} & -9.76 x_{10} & -0.83 x_{20} & -1.81 x_{28} & +  2.24 x_{24} & -41.16 x_{14} & + 15.73 x_{15} & +  2.41 x_{23} & +  4.45 x_{16}\\
 x_{11}   &  1.16993496573 & +  1.96 x_{13} & +  0.08 x_{17} & +  0.04 x_{26} & -1.05 x_{9} & +  1.11 x_{12} & -1.10 x_{4} & +  0.06 x_{18} & -0.98 x_{8} & -0.06 x_{31} & -0.28 x_{10} & +  0.01 x_{20} & +  0.04 x_{28} & +  0.05 x_{24} & +  0.52 x_{14} & +  0.11 x_{15} & -0.13 x_{23} & +  0.77 x_{16}\\
 x_{1}   &  2.23209923578 & -0.21 x_{13} & +  0.52 x_{17} & +  0.02 x_{26} & -0.69 x_{9} & -0.86 x_{12} & -0.04 x_{4} & -0.01 x_{18} & +  0.09 x_{8} & +  0.04 x_{31} & +  0.39 x_{10} & -0.03 x_{20} & +  0.03 x_{28} & +  0.06 x_{24} & +  0.16 x_{14} & -0.29 x_{15} & +  0.04 x_{23} & +  0.15 x_{16}\\
 x_{25}   &  47.6910243641 & -0.18 x_{13} & -17.82 x_{17} & +  0.42 x_{26} & -1.64 x_{9} & -1.50 x_{12} & -1.85 x_{4} & +  1.38 x_{18} & -5.38 x_{8} & -1.62 x_{31} & -28.13 x_{10} & -0.75 x_{20} & -0.81 x_{28} & +  1.02 x_{24} & -3.97 x_{14} & + 11.06 x_{15} & -1.22 x_{23} & + 13.07 x_{16}\\
 x_{5}   &  0.726279892019 & +  0.44 x_{13} & +  0.31 x_{17} & +  0.08 x_{26} & -0.88 x_{9} & -0.32 x_{12} & +  0.39 x_{4} & +  0.03 x_{18} & +  0.12 x_{8} & -0.00 x_{31} & +  0.81 x_{10} & +  0.00 x_{20} & +  0.05 x_{28} & +  0.03 x_{24} & -0.32 x_{14} & -0.51 x_{15} & +  0.02 x_{23} & -0.69 x_{16}\\
 x_{27}   &  14.6761974105 & + 12.94 x_{13} & -12.34 x_{17} & +  0.81 x_{26} & -18.43 x_{9} & -3.23 x_{12} & -3.08 x_{4} & +  1.04 x_{18} & -5.19 x_{8} & -0.87 x_{31} & -4.79 x_{10} & -0.51 x_{20} & -0.06 x_{28} & +  1.36 x_{24} & -1.58 x_{14} & + 14.97 x_{15} & -1.38 x_{23} & + 16.07 x_{16}\\
 x_{19}   &  18.7575831359 & -15.45 x_{13} & +  9.63 x_{17} & -1.32 x_{26} & + 10.51 x_{9} & -1.19 x_{12} & -1.59 x_{4} & -1.17 x_{18} & -2.96 x_{8} & +  0.48 x_{31} & -6.11 x_{10} & +  0.20 x_{20} & -0.30 x_{28} & -0.61 x_{24} & -3.61 x_{14} & -3.73 x_{15} & +  1.09 x_{23} & +  2.10 x_{16}\\
 x_{29}   &  21.3728516595 & +  9.22 x_{13} & +  4.51 x_{17} & +  0.25 x_{26} & -2.95 x_{9} & -20.51 x_{12} & -9.17 x_{4} & +  0.26 x_{18} & + 14.82 x_{8} & +  1.31 x_{31} & + 10.66 x_{10} & -0.34 x_{20} & +  0.54 x_{28} & +  1.10 x_{24} & -0.95 x_{14} & -10.95 x_{15} & +  0.48 x_{23} & +  1.90 x_{16}\\
 x_{30}   &  38.5209984228 & + 20.86 x_{13} & + 18.31 x_{17} & -0.05 x_{26} & -10.62 x_{9} & +  7.63 x_{12} & -19.59 x_{4} & -0.24 x_{18} & -11.80 x_{8} & +  0.91 x_{31} & +  9.48 x_{10} & +  0.58 x_{20} & +  1.78 x_{28} & -0.49 x_{24} & + 11.18 x_{14} & -12.13 x_{15} & -0.85 x_{23} & -5.11 x_{16}\\
 x_{3}   &  0.597412290296 & +  1.06 x_{13} & +  0.59 x_{17} & +  0.07 x_{26} & -0.87 x_{9} & -1.01 x_{12} & -0.31 x_{4} & +  0.07 x_{18} & +  0.30 x_{8} & +  0.04 x_{31} & +  0.92 x_{10} & +  0.00 x_{20} & +  0.03 x_{28} & +  0.11 x_{24} & -0.44 x_{14} & -1.00 x_{15} & -0.01 x_{23} & +  0.36 x_{16}\\
 x_{32}   &  85.2518771436 & -13.41 x_{13} & + 15.01 x_{17} & -0.89 x_{26} & -4.07 x_{9} & -1.19 x_{12} & -9.21 x_{4} & -1.09 x_{18} & -8.62 x_{8} & +  0.89 x_{31} & -6.28 x_{10} & -0.31 x_{20} & -0.30 x_{28} & -0.65 x_{24} & +  4.31 x_{14} & +  0.53 x_{15} & -0.03 x_{23} & +  9.41 x_{16}\\
\hline
z    &  12.8990972222 & +  0.15 x_{13} & + 12.60 x_{17} & -0.51 x_{26} & -2.54 x_{9} & -2.00 x_{12} & -2.06 x_{4} & -0.90 x_{18} & +  0.17 x_{8} & +  1.13 x_{31} & + 10.44 x_{10} & +  0.06 x_{20} & +  0.54 x_{28} & -0.81 x_{24} & +  8.43 x_{14} & -9.53 x_{15} & +  0.56 x_{23} & -1.72 x_{16}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.88022363715 & +  1.13 x_{13} & +  1.86 x_{17} & -0.10 x_{26} & +  0.44 x_{9} & +  0.26 x_{12} & -0.88 x_{4} & -0.04 x_{18} & -1.27 x_{6} & +  0.14 x_{31} & +  1.56 x_{10} & +  0.06 x_{20} & +  0.10 x_{28} & -0.07 x_{24} & +  1.19 x_{14} & -1.74 x_{15} & +  0.00 x_{23} & -0.71 x_{16}\\
 x_{8}   &  0.562787820919 & +  3.22 x_{13} & +  3.69 x_{17} & -0.10 x_{26} & -0.26 x_{9} & +  1.71 x_{12} & -1.83 x_{4} & -0.07 x_{18} & -2.02 x_{6} & +  0.23 x_{31} & +  2.06 x_{10} & +  0.04 x_{20} & +  0.18 x_{28} & -0.15 x_{24} & +  3.30 x_{14} & -2.27 x_{15} & -0.16 x_{23} & +  0.10 x_{16}\\
 x_{7}   &  0.706729532867 & -0.91 x_{13} & +  1.08 x_{17} & -0.03 x_{26} & +  0.01 x_{9} & -0.35 x_{12} & +  0.76 x_{4} & -0.11 x_{18} & +  0.53 x_{6} & +  0.07 x_{31} & +  1.09 x_{10} & +  0.05 x_{20} & +  0.01 x_{28} & -0.06 x_{24} & -0.03 x_{14} & -0.49 x_{15} & +  0.06 x_{23} & -0.20 x_{16}\\
 x_{21}   &  49.7959165147 & +  3.62 x_{13} & -3.02 x_{17} & -0.88 x_{26} & + 12.75 x_{9} & -9.48 x_{12} & -13.33 x_{4} & -0.62 x_{18} & +  2.16 x_{6} & +  0.52 x_{31} & -0.64 x_{10} & +  0.65 x_{20} & +  0.02 x_{28} & +  0.05 x_{24} & +  9.88 x_{14} & -7.80 x_{15} & +  0.48 x_{23} & +  2.69 x_{16}\\
 x_{22}   &  72.0039931804 & + 46.11 x_{13} & + 50.01 x_{17} & -2.37 x_{26} & +  9.21 x_{9} & +  3.26 x_{12} & -41.15 x_{4} & -0.81 x_{18} & -48.68 x_{6} & +  4.37 x_{31} & + 39.90 x_{10} & +  0.10 x_{20} & +  2.48 x_{28} & -1.29 x_{24} & + 38.24 x_{14} & -38.88 x_{15} & -1.33 x_{23} & +  6.83 x_{16}\\
 x_{11}   &  0.61940430892 & -1.19 x_{13} & -3.53 x_{17} & +  0.14 x_{26} & -0.80 x_{9} & -0.56 x_{12} & +  0.68 x_{4} & +  0.13 x_{18} & +  1.98 x_{6} & -0.29 x_{31} & -2.29 x_{10} & -0.03 x_{20} & -0.13 x_{28} & +  0.20 x_{24} & -2.70 x_{14} & +  2.33 x_{15} & +  0.02 x_{23} & +  0.67 x_{16}\\
 x_{1}   &  2.28290563998 & +  0.08 x_{13} & +  0.85 x_{17} & +  0.01 x_{26} & -0.71 x_{9} & -0.70 x_{12} & -0.20 x_{4} & -0.01 x_{18} & -0.18 x_{6} & +  0.06 x_{31} & +  0.58 x_{10} & -0.03 x_{20} & +  0.04 x_{28} & +  0.05 x_{24} & +  0.45 x_{14} & -0.50 x_{15} & +  0.02 x_{23} & +  0.16 x_{16}\\
 x_{25}   &  44.6604790626 & -17.52 x_{13} & -37.68 x_{17} & +  0.98 x_{26} & -0.25 x_{9} & -10.71 x_{12} & +  7.98 x_{4} & +  1.78 x_{18} & + 10.89 x_{6} & -2.85 x_{31} & -39.24 x_{10} & -0.96 x_{20} & -1.77 x_{28} & +  1.81 x_{24} & -21.73 x_{14} & + 23.27 x_{15} & -0.38 x_{23} & + 12.53 x_{16}\\
 x_{5}   &  0.79553285266 & +  0.84 x_{13} & +  0.76 x_{17} & +  0.07 x_{26} & -0.91 x_{9} & -0.11 x_{12} & +  0.17 x_{4} & +  0.02 x_{18} & -0.25 x_{6} & +  0.02 x_{31} & +  1.06 x_{10} & +  0.01 x_{20} & +  0.07 x_{28} & +  0.01 x_{24} & +  0.08 x_{14} & -0.79 x_{15} & +  0.00 x_{23} & -0.67 x_{16}\\
 x_{27}   &  11.7579193911 & -3.75 x_{13} & -31.47 x_{17} & +  1.35 x_{26} & -17.10 x_{9} & -12.10 x_{12} & +  6.38 x_{4} & +  1.43 x_{18} & + 10.48 x_{6} & -2.05 x_{31} & -15.48 x_{10} & -0.71 x_{20} & -0.99 x_{28} & +  2.12 x_{24} & -18.68 x_{14} & + 26.73 x_{15} & -0.57 x_{23} & + 15.56 x_{16}\\
 x_{19}   &  17.0911948824 & -24.99 x_{13} & -1.29 x_{17} & -1.01 x_{26} & + 11.27 x_{9} & -6.25 x_{12} & +  3.82 x_{4} & -0.95 x_{18} & +  5.99 x_{6} & -0.19 x_{31} & -12.21 x_{10} & +  0.08 x_{20} & -0.82 x_{28} & -0.17 x_{24} & -13.37 x_{14} & +  2.98 x_{15} & +  1.55 x_{23} & +  1.81 x_{16}\\
 x_{29}   &  29.7157150817 & + 56.95 x_{13} & + 59.20 x_{17} & -1.30 x_{26} & -6.77 x_{9} & +  4.84 x_{12} & -36.24 x_{4} & -0.84 x_{18} & -29.97 x_{6} & +  4.68 x_{31} & + 41.23 x_{10} & +  0.23 x_{20} & +  3.18 x_{28} & -1.07 x_{24} & + 47.94 x_{14} & -44.57 x_{15} & -1.82 x_{23} & +  3.37 x_{16}\\
 x_{30}   &  31.877808263 & -17.15 x_{13} & -25.24 x_{17} & +  1.19 x_{26} & -7.58 x_{9} & -12.55 x_{12} & +  1.96 x_{4} & +  0.64 x_{18} & + 23.87 x_{6} & -1.77 x_{31} & -14.87 x_{10} & +  0.12 x_{20} & -0.33 x_{28} & +  1.25 x_{24} & -27.75 x_{14} & + 14.64 x_{15} & +  0.98 x_{23} & -6.28 x_{16}\\
 x_{3}   &  0.765398270336 & +  2.02 x_{13} & +  1.69 x_{17} & +  0.04 x_{26} & -0.95 x_{9} & -0.50 x_{12} & -0.85 x_{4} & +  0.05 x_{18} & -0.60 x_{6} & +  0.10 x_{31} & +  1.53 x_{10} & +  0.01 x_{20} & +  0.09 x_{28} & +  0.07 x_{24} & +  0.54 x_{14} & -1.68 x_{15} & -0.06 x_{23} & +  0.39 x_{16}\\
 x_{32}   &  80.3984218365 & -41.18 x_{13} & -16.80 x_{17} & +  0.01 x_{26} & -1.85 x_{9} & -15.94 x_{12} & +  6.53 x_{4} & -0.45 x_{18} & + 17.44 x_{6} & -1.07 x_{31} & -24.07 x_{10} & -0.64 x_{20} & -1.84 x_{28} & +  0.62 x_{24} & -24.13 x_{14} & + 20.09 x_{15} & +  1.30 x_{23} & +  8.56 x_{16}\\
\hline
z    &  12.9928113228 & +  0.68 x_{13} & + 13.21 x_{17} & -0.53 x_{26} & -2.58 x_{9} & -1.72 x_{12} & -2.36 x_{4} & -0.91 x_{18} & -0.34 x_{6} & +  1.17 x_{31} & + 10.79 x_{10} & +  0.07 x_{20} & +  0.57 x_{28} & -0.83 x_{24} & +  8.98 x_{14} & -9.91 x_{15} & +  0.54 x_{23} & -1.71 x_{16}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.30210645353 & +  0.32 x_{13} & -0.55 x_{17} & +  0.00 x_{26} & -0.11 x_{9} & -0.12 x_{12} & -0.41 x_{4} & +  0.05 x_{18} & +  0.08 x_{6} & -0.05 x_{31} & -0.68 x_{11} & +  0.04 x_{20} & +  0.01 x_{28} & +  0.06 x_{24} & -0.66 x_{14} & -0.15 x_{15} & +  0.02 x_{23} & -0.25 x_{16}\\
 x_{8}   &  1.11981748005 & +  2.15 x_{13} & +  0.52 x_{17} & +  0.03 x_{26} & -0.98 x_{9} & +  1.20 x_{12} & -1.21 x_{4} & +  0.05 x_{18} & -0.24 x_{6} & -0.03 x_{31} & -0.90 x_{11} & +  0.01 x_{20} & +  0.06 x_{28} & +  0.03 x_{24} & +  0.87 x_{14} & -0.17 x_{15} & -0.13 x_{23} & +  0.71 x_{16}\\
 x_{7}   &  1.00098844425 & -1.48 x_{13} & -0.60 x_{17} & +  0.04 x_{26} & -0.37 x_{9} & -0.62 x_{12} & +  1.09 x_{4} & -0.04 x_{18} & +  1.47 x_{6} & -0.06 x_{31} & -0.48 x_{11} & +  0.04 x_{20} & -0.05 x_{28} & +  0.03 x_{24} & -1.31 x_{14} & +  0.62 x_{15} & +  0.07 x_{23} & +  0.12 x_{16}\\
 x_{21}   &  49.62214991 & +  3.95 x_{13} & -2.04 x_{17} & -0.93 x_{26} & + 12.97 x_{9} & -9.32 x_{12} & -13.52 x_{4} & -0.65 x_{18} & +  1.61 x_{6} & +  0.60 x_{31} & +  0.28 x_{11} & +  0.66 x_{20} & +  0.06 x_{28} & -0.01 x_{24} & + 10.64 x_{14} & -8.45 x_{15} & +  0.47 x_{23} & +  2.50 x_{16}\\
 x_{22}   &  82.7795058882 & + 25.39 x_{13} & -11.32 x_{17} & +  0.14 x_{26} & -4.71 x_{9} & -6.54 x_{12} & -29.29 x_{4} & +  1.53 x_{18} & -14.27 x_{6} & -0.60 x_{31} & -17.40 x_{11} & -0.40 x_{20} & +  0.19 x_{28} & +  2.12 x_{24} & -8.76 x_{14} & +  1.65 x_{15} & -0.90 x_{23} & + 18.56 x_{16}\\
 x_{10}   &  0.270033756977 & -0.52 x_{13} & -1.54 x_{17} & +  0.06 x_{26} & -0.35 x_{9} & -0.25 x_{12} & +  0.30 x_{4} & +  0.06 x_{18} & +  0.86 x_{6} & -0.12 x_{31} & -0.44 x_{11} & -0.01 x_{20} & -0.06 x_{28} & +  0.09 x_{24} & -1.18 x_{14} & +  1.02 x_{15} & +  0.01 x_{23} & +  0.29 x_{16}\\
 x_{1}   &  2.43869212638 & -0.22 x_{13} & -0.03 x_{17} & +  0.05 x_{26} & -0.91 x_{9} & -0.84 x_{12} & -0.03 x_{4} & +  0.02 x_{18} & +  0.31 x_{6} & -0.01 x_{31} & -0.25 x_{11} & -0.04 x_{20} & +  0.01 x_{28} & +  0.10 x_{24} & -0.23 x_{14} & +  0.09 x_{15} & +  0.03 x_{23} & +  0.33 x_{16}\\
 x_{25}   &  34.0644743339 & +  2.85 x_{13} & + 22.63 x_{17} & -1.49 x_{26} & + 13.44 x_{9} & -1.07 x_{12} & -3.68 x_{4} & -0.53 x_{18} & -22.95 x_{6} & +  2.04 x_{31} & + 17.11 x_{11} & -0.47 x_{20} & +  0.48 x_{28} & -1.55 x_{24} & + 24.49 x_{14} & -16.58 x_{15} & -0.80 x_{23} & +  1.00 x_{16}\\
 x_{5}   &  1.08252714734 & +  0.29 x_{13} & -0.87 x_{17} & +  0.13 x_{26} & -1.28 x_{9} & -0.37 x_{12} & +  0.49 x_{4} & +  0.08 x_{18} & +  0.67 x_{6} & -0.11 x_{31} & -0.46 x_{11} & -0.00 x_{20} & +  0.01 x_{28} & +  0.10 x_{24} & -1.17 x_{14} & +  0.29 x_{15} & +  0.01 x_{23} & -0.36 x_{16}\\
 x_{27}   &  7.57697862404 & +  4.29 x_{13} & -7.68 x_{17} & +  0.38 x_{26} & -11.69 x_{9} & -8.29 x_{12} & +  1.78 x_{4} & +  0.52 x_{18} & -2.87 x_{6} & -0.12 x_{31} & +  6.75 x_{11} & -0.52 x_{20} & -0.10 x_{28} & +  0.79 x_{24} & -0.44 x_{14} & + 11.00 x_{15} & -0.74 x_{23} & + 11.00 x_{16}\\
 x_{19}   &  13.7929982982 & -18.65 x_{13} & + 17.48 x_{17} & -1.78 x_{26} & + 15.53 x_{9} & -3.25 x_{12} & +  0.19 x_{4} & -1.67 x_{18} & -4.54 x_{6} & +  1.33 x_{31} & +  5.32 x_{11} & +  0.24 x_{20} & -0.12 x_{28} & -1.22 x_{24} & +  1.02 x_{14} & -9.42 x_{15} & +  1.42 x_{23} & -1.78 x_{16}\\
 x_{29}   &  40.8505519003 & + 35.54 x_{13} & -4.18 x_{17} & +  1.30 x_{26} & -21.16 x_{9} & -5.29 x_{12} & -23.98 x_{4} & +  1.58 x_{18} & +  5.58 x_{6} & -0.45 x_{31} & -17.98 x_{11} & -0.28 x_{20} & +  0.82 x_{28} & +  2.45 x_{24} & -0.64 x_{14} & -2.69 x_{15} & -1.38 x_{23} & + 15.49 x_{16}\\
 x_{30}   &  27.8636573021 & -9.43 x_{13} & -2.39 x_{17} & +  0.25 x_{26} & -2.39 x_{9} & -8.90 x_{12} & -2.46 x_{4} & -0.23 x_{18} & + 11.05 x_{6} & +  0.08 x_{31} & +  6.48 x_{11} & +  0.31 x_{20} & +  0.52 x_{28} & -0.02 x_{24} & -10.24 x_{14} & -0.46 x_{15} & +  0.82 x_{23} & -10.65 x_{16}\\
 x_{3}   &  1.17986765812 & +  1.23 x_{13} & -0.67 x_{17} & +  0.14 x_{26} & -1.48 x_{9} & -0.88 x_{12} & -0.39 x_{4} & +  0.14 x_{18} & +  0.72 x_{6} & -0.09 x_{31} & -0.67 x_{11} & -0.01 x_{20} & -0.00 x_{28} & +  0.20 x_{24} & -1.27 x_{14} & -0.12 x_{15} & -0.04 x_{23} & +  0.84 x_{16}\\
 x_{32}   &  73.89848285 & -28.68 x_{13} & + 20.19 x_{17} & -1.51 x_{26} & +  6.55 x_{9} & -10.03 x_{12} & -0.63 x_{4} & -1.87 x_{18} & -3.32 x_{6} & +  1.93 x_{31} & + 10.49 x_{11} & -0.34 x_{20} & -0.46 x_{28} & -1.44 x_{24} & +  4.23 x_{14} & -4.36 x_{15} & +  1.05 x_{23} & +  1.48 x_{16}\\
\hline
z    &  15.9058373034 & -4.92 x_{13} & -3.37 x_{17} & +  0.15 x_{26} & -6.34 x_{9} & -4.37 x_{12} & +  0.85 x_{4} & -0.28 x_{18} & +  8.97 x_{6} & -0.17 x_{31} & -4.70 x_{11} & -0.07 x_{20} & -0.05 x_{28} & +  0.09 x_{24} & -3.73 x_{14} & +  1.05 x_{15} & +  0.65 x_{23} & +  1.46 x_{16}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.922184346 & -0.41 x_{13} & -0.72 x_{17} & -0.01 x_{26} & +  0.22 x_{9} & -0.53 x_{12} & +  0.34 x_{8} & +  0.04 x_{18} & +  0.16 x_{6} & -0.04 x_{31} & -0.38 x_{11} & +  0.04 x_{20} & -0.01 x_{28} & +  0.05 x_{24} & -0.95 x_{14} & -0.09 x_{15} & +  0.06 x_{23} & -0.49 x_{16}\\
 x_{4}   &  0.923649567069 & +  1.77 x_{13} & +  0.43 x_{17} & +  0.02 x_{26} & -0.81 x_{9} & +  0.99 x_{12} & -0.82 x_{8} & +  0.04 x_{18} & -0.20 x_{6} & -0.02 x_{31} & -0.74 x_{11} & +  0.01 x_{20} & +  0.05 x_{28} & +  0.02 x_{24} & +  0.72 x_{14} & -0.14 x_{15} & -0.11 x_{23} & +  0.58 x_{16}\\
 x_{7}   &  2.00332564511 & +  0.45 x_{13} & -0.13 x_{17} & +  0.06 x_{26} & -1.25 x_{9} & +  0.46 x_{12} & -0.90 x_{8} & -0.00 x_{18} & +  1.25 x_{6} & -0.09 x_{31} & -1.28 x_{11} & +  0.05 x_{20} & +  0.00 x_{28} & +  0.06 x_{24} & -0.54 x_{14} & +  0.46 x_{15} & -0.05 x_{23} & +  0.75 x_{16}\\
 x_{21}   &  37.1326916079 & -20.02 x_{13} & -7.82 x_{17} & -1.21 x_{26} & + 23.88 x_{9} & -22.74 x_{12} & + 11.15 x_{8} & -1.18 x_{18} & +  4.32 x_{6} & +  0.93 x_{31} & + 10.31 x_{11} & +  0.51 x_{20} & -0.61 x_{28} & -0.34 x_{24} & +  0.96 x_{14} & -6.53 x_{15} & +  1.96 x_{23} & -5.37 x_{16}\\
 x_{22}   &  55.7290138388 & -26.52 x_{13} & -23.85 x_{17} & -0.46 x_{26} & + 18.90 x_{9} & -35.61 x_{12} & + 24.16 x_{8} & +  0.40 x_{18} & -8.40 x_{6} & +  0.12 x_{31} & +  4.33 x_{11} & -0.71 x_{20} & -1.26 x_{28} & +  1.40 x_{24} & -29.72 x_{14} & +  5.83 x_{15} & +  2.31 x_{23} & +  1.52 x_{16}\\
 x_{10}   &  0.544647501418 & +  0.01 x_{13} & -1.41 x_{17} & +  0.07 x_{26} & -0.59 x_{9} & +  0.05 x_{12} & -0.25 x_{8} & +  0.07 x_{18} & +  0.80 x_{6} & -0.13 x_{31} & -0.66 x_{11} & -0.01 x_{20} & -0.04 x_{28} & +  0.09 x_{24} & -0.97 x_{14} & +  0.97 x_{15} & -0.02 x_{23} & +  0.47 x_{16}\\
 x_{1}   &  2.40963150065 & -0.27 x_{13} & -0.05 x_{17} & +  0.05 x_{26} & -0.89 x_{9} & -0.87 x_{12} & +  0.03 x_{8} & +  0.02 x_{18} & +  0.32 x_{6} & -0.01 x_{31} & -0.23 x_{11} & -0.04 x_{20} & +  0.01 x_{28} & +  0.10 x_{24} & -0.25 x_{14} & +  0.09 x_{15} & +  0.03 x_{23} & +  0.31 x_{16}\\
 x_{25}   &  30.6623783888 & -3.68 x_{13} & + 21.05 x_{17} & -1.57 x_{26} & + 16.41 x_{9} & -4.73 x_{12} & +  3.04 x_{8} & -0.67 x_{18} & -22.21 x_{6} & +  2.13 x_{31} & + 19.84 x_{11} & -0.51 x_{20} & +  0.30 x_{28} & -1.64 x_{24} & + 21.86 x_{14} & -16.06 x_{15} & -0.40 x_{23} & -1.14 x_{16}\\
 x_{5}   &  1.53082208641 & +  1.15 x_{13} & -0.67 x_{17} & +  0.14 x_{26} & -1.67 x_{9} & +  0.11 x_{12} & -0.40 x_{8} & +  0.10 x_{18} & +  0.57 x_{6} & -0.12 x_{31} & -0.82 x_{11} & +  0.00 x_{20} & +  0.04 x_{28} & +  0.11 x_{24} & -0.82 x_{14} & +  0.22 x_{15} & -0.04 x_{23} & -0.08 x_{16}\\
 x_{27}   &  9.22155421532 & +  7.44 x_{13} & -6.91 x_{17} & +  0.41 x_{26} & -13.13 x_{9} & -6.52 x_{12} & -1.47 x_{8} & +  0.59 x_{18} & -3.22 x_{6} & -0.16 x_{31} & +  5.43 x_{11} & -0.50 x_{20} & -0.01 x_{28} & +  0.84 x_{24} & +  0.83 x_{14} & + 10.75 x_{15} & -0.93 x_{23} & + 12.04 x_{16}\\
 x_{19}   &  13.9646473944 & -18.32 x_{13} & + 17.56 x_{17} & -1.77 x_{26} & + 15.38 x_{9} & -3.07 x_{12} & -0.15 x_{8} & -1.66 x_{18} & -4.58 x_{6} & +  1.32 x_{31} & +  5.19 x_{11} & +  0.24 x_{20} & -0.11 x_{28} & -1.21 x_{24} & +  1.15 x_{14} & -9.45 x_{15} & +  1.40 x_{23} & -1.67 x_{16}\\
 x_{29}   &  18.7040868858 & -6.96 x_{13} & -14.44 x_{17} & +  0.80 x_{26} & -1.83 x_{9} & -29.09 x_{12} & + 19.78 x_{8} & +  0.66 x_{18} & + 10.39 x_{6} & +  0.13 x_{31} & -0.19 x_{11} & -0.54 x_{20} & -0.36 x_{28} & +  1.87 x_{24} & -17.80 x_{14} & +  0.73 x_{15} & +  1.25 x_{23} & +  1.54 x_{16}\\
 x_{30}   &  25.5905646292 & -13.79 x_{13} & -3.44 x_{17} & +  0.20 x_{26} & -0.41 x_{9} & -11.34 x_{12} & +  2.03 x_{8} & -0.33 x_{18} & + 11.54 x_{6} & +  0.14 x_{31} & +  8.31 x_{11} & +  0.28 x_{20} & +  0.40 x_{28} & -0.08 x_{24} & -12.00 x_{14} & -0.11 x_{15} & +  1.09 x_{23} & -12.08 x_{16}\\
 x_{3}   &  0.815483822632 & +  0.53 x_{13} & -0.84 x_{17} & +  0.13 x_{26} & -1.17 x_{9} & -1.27 x_{12} & +  0.33 x_{8} & +  0.12 x_{18} & +  0.80 x_{6} & -0.08 x_{31} & -0.38 x_{11} & -0.01 x_{20} & -0.02 x_{28} & +  0.19 x_{24} & -1.55 x_{14} & -0.06 x_{15} & -0.00 x_{23} & +  0.61 x_{16}\\
 x_{32}   &  73.3195190671 & -29.79 x_{13} & + 19.93 x_{17} & -1.52 x_{26} & +  7.06 x_{9} & -10.65 x_{12} & +  0.52 x_{8} & -1.89 x_{18} & -3.19 x_{6} & +  1.95 x_{31} & + 10.96 x_{11} & -0.35 x_{20} & -0.49 x_{28} & -1.45 x_{24} & +  3.78 x_{14} & -4.27 x_{15} & +  1.12 x_{23} & +  1.12 x_{16}\\
\hline
z    &  16.6892762728 & -3.41 x_{13} & -3.01 x_{17} & +  0.17 x_{26} & -7.03 x_{9} & -3.53 x_{12} & -0.70 x_{8} & -0.24 x_{18} & +  8.79 x_{6} & -0.19 x_{31} & -5.33 x_{11} & -0.06 x_{20} & -0.01 x_{28} & +  0.11 x_{24} & -3.12 x_{14} & +  0.92 x_{15} & +  0.56 x_{23} & +  1.96 x_{16}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.14689640405 & -0.44 x_{13} & -0.57 x_{17} & -0.02 x_{26} & +  0.34 x_{9} & -0.57 x_{12} & +  0.36 x_{8} & +  0.03 x_{18} & -0.01 x_{25} & -0.02 x_{31} & -0.23 x_{11} & +  0.03 x_{20} & -0.01 x_{28} & +  0.04 x_{24} & -0.79 x_{14} & -0.21 x_{15} & +  0.06 x_{23} & -0.50 x_{16}\\
 x_{4}   &  0.646681385798 & +  1.81 x_{13} & +  0.24 x_{17} & +  0.03 x_{26} & -0.95 x_{9} & +  1.04 x_{12} & -0.85 x_{8} & +  0.04 x_{18} & +  0.01 x_{25} & -0.04 x_{31} & -0.92 x_{11} & +  0.02 x_{20} & +  0.05 x_{28} & +  0.04 x_{24} & +  0.52 x_{14} & +  0.00 x_{15} & -0.11 x_{23} & +  0.59 x_{16}\\
 x_{7}   &  3.73511936655 & +  0.24 x_{13} & +  1.06 x_{17} & -0.02 x_{26} & -0.32 x_{9} & +  0.19 x_{12} & -0.72 x_{8} & -0.04 x_{18} & -0.06 x_{25} & +  0.03 x_{31} & -0.16 x_{11} & +  0.02 x_{20} & +  0.02 x_{28} & -0.03 x_{24} & +  0.70 x_{14} & -0.44 x_{15} & -0.07 x_{23} & +  0.69 x_{16}\\
 x_{21}   &  43.0984739203 & -20.73 x_{13} & -3.72 x_{17} & -1.51 x_{26} & + 27.07 x_{9} & -23.66 x_{12} & + 11.74 x_{8} & -1.31 x_{18} & -0.19 x_{25} & +  1.34 x_{31} & + 14.17 x_{11} & +  0.41 x_{20} & -0.55 x_{28} & -0.66 x_{24} & +  5.21 x_{14} & -9.65 x_{15} & +  1.88 x_{23} & -5.59 x_{16}\\
 x_{22}   &  44.1330721702 & -25.12 x_{13} & -31.82 x_{17} & +  0.13 x_{26} & + 12.69 x_{9} & -33.82 x_{12} & + 23.01 x_{8} & +  0.65 x_{18} & +  0.38 x_{25} & -0.69 x_{31} & -3.18 x_{11} & -0.52 x_{20} & -1.37 x_{28} & +  2.02 x_{24} & -37.99 x_{14} & + 11.90 x_{15} & +  2.46 x_{23} & +  1.95 x_{16}\\
 x_{10}   &  1.65280586872 & -0.13 x_{13} & -0.65 x_{17} & +  0.01 x_{26} & +  0.00 x_{9} & -0.12 x_{12} & -0.14 x_{8} & +  0.05 x_{18} & -0.04 x_{25} & -0.05 x_{31} & +  0.06 x_{11} & -0.03 x_{20} & -0.03 x_{28} & +  0.03 x_{24} & -0.18 x_{14} & +  0.39 x_{15} & -0.04 x_{23} & +  0.43 x_{16}\\
 x_{1}   &  2.85315185168 & -0.33 x_{13} & +  0.26 x_{17} & +  0.02 x_{26} & -0.65 x_{9} & -0.94 x_{12} & +  0.07 x_{8} & +  0.01 x_{18} & -0.01 x_{25} & +  0.02 x_{31} & +  0.06 x_{11} & -0.04 x_{20} & +  0.01 x_{28} & +  0.07 x_{24} & +  0.07 x_{14} & -0.14 x_{15} & +  0.03 x_{23} & +  0.29 x_{16}\\
 x_{6}   &  1.38067301254 & -0.17 x_{13} & +  0.95 x_{17} & -0.07 x_{26} & +  0.74 x_{9} & -0.21 x_{12} & +  0.14 x_{8} & -0.03 x_{18} & -0.05 x_{25} & +  0.10 x_{31} & +  0.89 x_{11} & -0.02 x_{20} & +  0.01 x_{28} & -0.07 x_{24} & +  0.98 x_{14} & -0.72 x_{15} & -0.02 x_{23} & -0.05 x_{16}\\
 x_{5}   &  2.31816050282 & +  1.05 x_{13} & -0.12 x_{17} & +  0.10 x_{26} & -1.25 x_{9} & -0.01 x_{12} & -0.32 x_{8} & +  0.09 x_{18} & -0.03 x_{25} & -0.07 x_{31} & -0.31 x_{11} & -0.01 x_{20} & +  0.04 x_{28} & +  0.07 x_{24} & -0.26 x_{14} & -0.19 x_{15} & -0.05 x_{23} & -0.11 x_{16}\\
 x_{27}   &  4.77124868421 & +  7.98 x_{13} & -9.97 x_{17} & +  0.64 x_{26} & -15.51 x_{9} & -5.84 x_{12} & -1.91 x_{8} & +  0.69 x_{18} & +  0.15 x_{25} & -0.47 x_{31} & +  2.55 x_{11} & -0.43 x_{20} & -0.06 x_{28} & +  1.08 x_{24} & -2.34 x_{14} & + 13.08 x_{15} & -0.88 x_{23} & + 12.21 x_{16}\\
 x_{19}   &  7.6380765736 & -17.56 x_{13} & + 13.22 x_{17} & -1.45 x_{26} & + 12.00 x_{9} & -2.09 x_{12} & -0.78 x_{8} & -1.52 x_{18} & +  0.21 x_{25} & +  0.88 x_{31} & +  1.09 x_{11} & +  0.34 x_{20} & -0.18 x_{28} & -0.88 x_{24} & -3.36 x_{14} & -6.13 x_{15} & +  1.48 x_{23} & -1.44 x_{16}\\
 x_{29}   &  33.0525298669 & -8.68 x_{13} & -4.59 x_{17} & +  0.07 x_{26} & +  5.85 x_{9} & -31.30 x_{12} & + 21.20 x_{8} & +  0.34 x_{18} & -0.47 x_{25} & +  1.13 x_{31} & +  9.09 x_{11} & -0.78 x_{20} & -0.23 x_{28} & +  1.10 x_{24} & -7.57 x_{14} & -6.78 x_{15} & +  1.07 x_{23} & +  1.01 x_{16}\\
 x_{30}   &  41.5269439017 & -15.71 x_{13} & +  7.50 x_{17} & -0.61 x_{26} & +  8.12 x_{9} & -13.80 x_{12} & +  3.61 x_{8} & -0.68 x_{18} & -0.52 x_{25} & +  1.25 x_{31} & + 18.62 x_{11} & +  0.01 x_{20} & +  0.56 x_{28} & -0.94 x_{24} & -0.64 x_{14} & -8.45 x_{15} & +  0.89 x_{23} & -12.67 x_{16}\\
 x_{3}   &  1.91877415498 & +  0.39 x_{13} & -0.08 x_{17} & +  0.07 x_{26} & -0.58 x_{9} & -1.44 x_{12} & +  0.43 x_{8} & +  0.10 x_{18} & -0.04 x_{25} & -0.00 x_{31} & +  0.34 x_{11} & -0.03 x_{20} & -0.01 x_{28} & +  0.13 x_{24} & -0.76 x_{14} & -0.64 x_{15} & -0.01 x_{23} & +  0.57 x_{16}\\
 x_{32}   &  68.9111556552 & -29.26 x_{13} & + 16.90 x_{17} & -1.29 x_{26} & +  4.70 x_{9} & -9.97 x_{12} & +  0.08 x_{8} & -1.80 x_{18} & +  0.14 x_{25} & +  1.64 x_{31} & +  8.11 x_{11} & -0.27 x_{20} & -0.54 x_{28} & -1.22 x_{24} & +  0.64 x_{14} & -1.96 x_{15} & +  1.17 x_{23} & +  1.28 x_{16}\\
\hline
z    &  28.8322374178 & -4.87 x_{13} & +  5.33 x_{17} & -0.45 x_{26} & -0.53 x_{9} & -5.40 x_{12} & +  0.50 x_{8} & -0.51 x_{18} & -0.40 x_{25} & +  0.65 x_{31} & +  2.52 x_{11} & -0.26 x_{20} & +  0.11 x_{28} & -0.54 x_{24} & +  5.54 x_{14} & -5.43 x_{15} & +  0.40 x_{23} & +  1.50 x_{16}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  4.42122313813 & +  0.33 x_{13} & -0.47 x_{17} & -0.00 x_{26} & -0.06 x_{9} & -0.13 x_{12} & -0.42 x_{4} & +  0.05 x_{18} & -0.00 x_{25} & -0.04 x_{31} & -0.62 x_{11} & +  0.04 x_{20} & +  0.01 x_{28} & +  0.06 x_{24} & -0.57 x_{14} & -0.21 x_{15} & +  0.02 x_{23} & -0.25 x_{16}\\
 x_{8}   &  0.75878058719 & +  2.12 x_{13} & +  0.28 x_{17} & +  0.04 x_{26} & -1.12 x_{9} & +  1.21 x_{12} & -1.17 x_{4} & +  0.05 x_{18} & +  0.01 x_{25} & -0.05 x_{31} & -1.08 x_{11} & +  0.02 x_{20} & +  0.05 x_{28} & +  0.05 x_{24} & +  0.61 x_{14} & +  0.00 x_{15} & -0.12 x_{23} & +  0.69 x_{16}\\
 x_{7}   &  3.18614106507 & -1.29 x_{13} & +  0.86 x_{17} & -0.05 x_{26} & +  0.49 x_{9} & -0.69 x_{12} & +  0.85 x_{4} & -0.08 x_{18} & -0.06 x_{25} & +  0.07 x_{31} & +  0.62 x_{11} & +  0.01 x_{20} & -0.02 x_{28} & -0.07 x_{24} & +  0.26 x_{14} & -0.45 x_{15} & +  0.02 x_{23} & +  0.19 x_{16}\\
 x_{21}   &  52.0097596922 & +  4.15 x_{13} & -0.45 x_{17} & -1.03 x_{26} & + 13.92 x_{9} & -9.40 x_{12} & -13.78 x_{4} & -0.69 x_{18} & -0.07 x_{25} & +  0.74 x_{31} & +  1.48 x_{11} & +  0.62 x_{20} & +  0.09 x_{28} & -0.12 x_{24} & + 12.35 x_{14} & -9.62 x_{15} & +  0.41 x_{23} & +  2.57 x_{16}\\
 x_{22}   &  61.5905009985 & + 23.62 x_{13} & -25.40 x_{17} & +  1.07 x_{26} & -13.07 x_{9} & -5.88 x_{12} & -27.00 x_{4} & +  1.86 x_{18} & +  0.62 x_{25} & -1.87 x_{31} & -28.04 x_{11} & -0.10 x_{20} & -0.11 x_{28} & +  3.08 x_{24} & -24.00 x_{14} & + 11.96 x_{15} & -0.40 x_{23} & + 17.94 x_{16}\\
 x_{10}   &  1.55004225201 & -0.41 x_{13} & -0.69 x_{17} & +  0.01 x_{26} & +  0.16 x_{9} & -0.29 x_{12} & +  0.16 x_{4} & +  0.04 x_{18} & -0.04 x_{25} & -0.05 x_{31} & +  0.21 x_{11} & -0.03 x_{20} & -0.04 x_{28} & +  0.03 x_{24} & -0.26 x_{14} & +  0.39 x_{15} & -0.02 x_{23} & +  0.33 x_{16}\\
 x_{1}   &  2.90618755642 & -0.18 x_{13} & +  0.28 x_{17} & +  0.03 x_{26} & -0.73 x_{9} & -0.86 x_{12} & -0.08 x_{4} & +  0.01 x_{18} & -0.01 x_{25} & +  0.02 x_{31} & -0.02 x_{11} & -0.04 x_{20} & +  0.02 x_{28} & +  0.08 x_{24} & +  0.11 x_{14} & -0.14 x_{15} & +  0.02 x_{23} & +  0.34 x_{16}\\
 x_{6}   &  1.48447377016 & +  0.12 x_{13} & +  0.99 x_{17} & -0.06 x_{26} & +  0.59 x_{9} & -0.05 x_{12} & -0.16 x_{4} & -0.02 x_{18} & -0.04 x_{25} & +  0.09 x_{31} & +  0.75 x_{11} & -0.02 x_{20} & +  0.02 x_{28} & -0.07 x_{24} & +  1.07 x_{14} & -0.72 x_{15} & -0.03 x_{23} & +  0.04 x_{16}\\
 x_{5}   &  2.07359205567 & +  0.37 x_{13} & -0.21 x_{17} & +  0.09 x_{26} & -0.89 x_{9} & -0.40 x_{12} & +  0.38 x_{4} & +  0.07 x_{18} & -0.03 x_{25} & -0.05 x_{31} & +  0.03 x_{11} & -0.02 x_{20} & +  0.03 x_{28} & +  0.05 x_{24} & -0.46 x_{14} & -0.19 x_{15} & -0.01 x_{23} & -0.33 x_{16}\\
 x_{27}   &  3.32231598207 & +  3.93 x_{13} & -10.50 x_{17} & +  0.56 x_{26} & -13.37 x_{9} & -8.16 x_{12} & +  2.24 x_{4} & +  0.59 x_{18} & +  0.12 x_{25} & -0.37 x_{31} & +  4.61 x_{11} & -0.46 x_{20} & -0.16 x_{28} & +  0.99 x_{24} & -3.50 x_{14} & + 13.07 x_{15} & -0.64 x_{23} & + 10.88 x_{16}\\
 x_{19}   &  7.0461286705 & -19.21 x_{13} & + 13.00 x_{17} & -1.48 x_{26} & + 12.87 x_{9} & -3.04 x_{12} & +  0.92 x_{4} & -1.56 x_{18} & +  0.20 x_{25} & +  0.92 x_{31} & +  1.94 x_{11} & +  0.33 x_{20} & -0.22 x_{28} & -0.91 x_{24} & -3.83 x_{14} & -6.14 x_{15} & +  1.58 x_{23} & -1.98 x_{16}\\
 x_{29}   &  49.1375557809 & + 36.23 x_{13} & +  1.32 x_{17} & +  0.93 x_{26} & -17.89 x_{9} & -5.55 x_{12} & -24.87 x_{4} & +  1.46 x_{18} & -0.24 x_{25} & +  0.04 x_{31} & -13.82 x_{11} & -0.40 x_{20} & +  0.94 x_{28} & +  2.08 x_{24} & +  5.32 x_{14} & -6.72 x_{15} & -1.57 x_{23} & + 15.74 x_{16}\\
 x_{30}   &  44.2652931058 & -8.06 x_{13} & +  8.51 x_{17} & -0.46 x_{26} & +  4.08 x_{9} & -9.42 x_{12} & -4.23 x_{4} & -0.49 x_{18} & -0.48 x_{25} & +  1.06 x_{31} & + 14.72 x_{11} & +  0.08 x_{20} & +  0.75 x_{28} & -0.77 x_{24} & +  1.56 x_{14} & -8.44 x_{15} & +  0.44 x_{23} & -10.17 x_{16}\\
 x_{3}   &  2.24862489824 & +  1.32 x_{13} & +  0.04 x_{17} & +  0.09 x_{26} & -1.06 x_{9} & -0.91 x_{12} & -0.51 x_{4} & +  0.12 x_{18} & -0.03 x_{25} & -0.02 x_{31} & -0.13 x_{11} & -0.02 x_{20} & +  0.01 x_{28} & +  0.15 x_{24} & -0.50 x_{14} & -0.64 x_{15} & -0.07 x_{23} & +  0.87 x_{16}\\
 x_{32}   &  68.9720311316 & -29.09 x_{13} & + 16.92 x_{17} & -1.29 x_{26} & +  4.61 x_{9} & -9.87 x_{12} & -0.09 x_{4} & -1.79 x_{18} & +  0.14 x_{25} & +  1.64 x_{31} & +  8.02 x_{11} & -0.27 x_{20} & -0.53 x_{28} & -1.21 x_{24} & +  0.69 x_{14} & -1.96 x_{15} & +  1.16 x_{23} & +  1.34 x_{16}\\
\hline
z    &  29.214307888 & -3.80 x_{13} & +  5.47 x_{17} & -0.43 x_{26} & -1.09 x_{9} & -4.79 x_{12} & -0.59 x_{4} & -0.48 x_{18} & -0.39 x_{25} & +  0.63 x_{31} & +  1.98 x_{11} & -0.25 x_{20} & +  0.14 x_{28} & -0.51 x_{24} & +  5.84 x_{14} & -5.43 x_{15} & +  0.34 x_{23} & +  1.85 x_{16}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.98496475114 & -0.89 x_{13} & -0.63 x_{17} & -0.03 x_{26} & +  0.58 x_{9} & -0.83 x_{12} & +  0.25 x_{4} & +  0.02 x_{18} & -0.01 x_{25} & -0.01 x_{31} & +  0.57 x_{8} & +  0.03 x_{20} & -0.02 x_{28} & +  0.03 x_{24} & -0.92 x_{14} & -0.21 x_{15} & +  0.09 x_{23} & -0.65 x_{16}\\
 x_{11}   &  0.702179754567 & +  1.96 x_{13} & +  0.26 x_{17} & +  0.04 x_{26} & -1.04 x_{9} & +  1.12 x_{12} & -1.09 x_{4} & +  0.05 x_{18} & +  0.01 x_{25} & -0.05 x_{31} & -0.93 x_{8} & +  0.02 x_{20} & +  0.05 x_{28} & +  0.04 x_{24} & +  0.56 x_{14} & +  0.00 x_{15} & -0.12 x_{23} & +  0.64 x_{16}\\
 x_{7}   &  3.62310020978 & -0.07 x_{13} & +  1.02 x_{17} & -0.03 x_{26} & -0.16 x_{9} & +  0.01 x_{12} & +  0.17 x_{4} & -0.05 x_{18} & -0.06 x_{25} & +  0.04 x_{31} & -0.58 x_{8} & +  0.02 x_{20} & +  0.01 x_{28} & -0.04 x_{24} & +  0.61 x_{14} & -0.44 x_{15} & -0.06 x_{23} & +  0.59 x_{16}\\
 x_{21}   &  53.0486816558 & +  7.05 x_{13} & -0.07 x_{17} & -0.97 x_{26} & + 12.38 x_{9} & -7.73 x_{12} & -15.39 x_{4} & -0.62 x_{18} & -0.06 x_{25} & +  0.67 x_{31} & -1.37 x_{8} & +  0.65 x_{20} & +  0.17 x_{28} & -0.05 x_{24} & + 13.19 x_{14} & -9.61 x_{15} & +  0.24 x_{23} & +  3.52 x_{16}\\
 x_{22}   &  41.9031816272 & -31.35 x_{13} & -32.64 x_{17} & +  0.01 x_{26} & + 15.98 x_{9} & -37.39 x_{12} & +  3.45 x_{4} & +  0.50 x_{18} & +  0.35 x_{25} & -0.54 x_{31} & + 25.95 x_{8} & -0.57 x_{20} & -1.53 x_{28} & +  1.89 x_{24} & -39.78 x_{14} & + 11.89 x_{15} & +  2.83 x_{23} & -0.09 x_{16}\\
 x_{10}   &  1.69528643111 & -0.01 x_{13} & -0.63 x_{17} & +  0.01 x_{26} & -0.06 x_{9} & -0.05 x_{12} & -0.07 x_{4} & +  0.05 x_{18} & -0.04 x_{25} & -0.06 x_{31} & -0.19 x_{8} & -0.03 x_{20} & -0.03 x_{28} & +  0.04 x_{24} & -0.14 x_{14} & +  0.39 x_{15} & -0.04 x_{23} & +  0.46 x_{16}\\
 x_{1}   &  2.89443332357 & -0.21 x_{13} & +  0.27 x_{17} & +  0.03 x_{26} & -0.71 x_{9} & -0.88 x_{12} & -0.06 x_{4} & +  0.01 x_{18} & -0.01 x_{25} & +  0.02 x_{31} & +  0.02 x_{8} & -0.04 x_{20} & +  0.02 x_{28} & +  0.08 x_{24} & +  0.10 x_{14} & -0.14 x_{15} & +  0.02 x_{23} & +  0.33 x_{16}\\
 x_{6}   &  2.00793806198 & +  1.59 x_{13} & +  1.18 x_{17} & -0.04 x_{26} & -0.19 x_{9} & +  0.79 x_{12} & -0.97 x_{4} & +  0.01 x_{18} & -0.04 x_{25} & +  0.05 x_{31} & -0.69 x_{8} & -0.01 x_{20} & +  0.06 x_{28} & -0.04 x_{24} & +  1.49 x_{14} & -0.72 x_{15} & -0.12 x_{23} & +  0.52 x_{16}\\
 x_{5}   &  2.09772006989 & +  0.44 x_{13} & -0.21 x_{17} & +  0.09 x_{26} & -0.92 x_{9} & -0.36 x_{12} & +  0.34 x_{4} & +  0.07 x_{18} & -0.03 x_{25} & -0.05 x_{31} & -0.03 x_{8} & -0.02 x_{20} & +  0.03 x_{28} & +  0.06 x_{24} & -0.44 x_{14} & -0.19 x_{15} & -0.01 x_{23} & -0.31 x_{16}\\
 x_{27}   &  6.56168051798 & + 12.97 x_{13} & -9.31 x_{17} & +  0.74 x_{26} & -18.15 x_{9} & -2.97 x_{12} & -2.77 x_{4} & +  0.81 x_{18} & +  0.17 x_{25} & -0.59 x_{31} & -4.27 x_{8} & -0.39 x_{20} & +  0.07 x_{28} & +  1.18 x_{24} & -0.91 x_{14} & + 13.09 x_{15} & -1.17 x_{23} & + 13.85 x_{16}\\
 x_{19}   &  8.40596418917 & -15.41 x_{13} & + 13.50 x_{17} & -1.41 x_{26} & + 10.86 x_{9} & -0.86 x_{12} & -1.19 x_{4} & -1.47 x_{18} & +  0.22 x_{25} & +  0.83 x_{31} & -1.79 x_{8} & +  0.36 x_{20} & -0.12 x_{28} & -0.83 x_{24} & -2.74 x_{14} & -6.13 x_{15} & +  1.36 x_{23} & -0.73 x_{16}\\
 x_{29}   &  39.4369051541 & +  9.15 x_{13} & -2.24 x_{17} & +  0.41 x_{26} & -3.57 x_{9} & -21.08 x_{12} & -9.87 x_{4} & +  0.79 x_{18} & -0.38 x_{25} & +  0.70 x_{31} & + 12.78 x_{8} & -0.63 x_{20} & +  0.24 x_{28} & +  1.49 x_{24} & -2.45 x_{14} & -6.76 x_{15} & +  0.02 x_{23} & +  6.85 x_{16}\\
 x_{30}   &  54.5995298091 & + 20.80 x_{13} & + 12.31 x_{17} & +  0.09 x_{26} & -11.17 x_{9} & +  7.13 x_{12} & -20.21 x_{4} & +  0.23 x_{18} & -0.34 x_{25} & +  0.37 x_{31} & -13.62 x_{8} & +  0.32 x_{20} & +  1.50 x_{28} & -0.14 x_{24} & +  9.84 x_{14} & -8.40 x_{15} & -1.26 x_{23} & -0.70 x_{16}\\
 x_{3}   &  2.15563875626 & +  1.06 x_{13} & +  0.01 x_{17} & +  0.08 x_{26} & -0.93 x_{9} & -1.06 x_{12} & -0.37 x_{4} & +  0.11 x_{18} & -0.03 x_{25} & -0.02 x_{31} & +  0.12 x_{8} & -0.02 x_{20} & +  0.01 x_{28} & +  0.14 x_{24} & -0.57 x_{14} & -0.64 x_{15} & -0.05 x_{23} & +  0.79 x_{16}\\
 x_{32}   &  74.603407866 & -13.37 x_{13} & + 18.99 x_{17} & -0.99 x_{26} & -3.70 x_{9} & -0.86 x_{12} & -8.80 x_{4} & -1.40 x_{18} & +  0.22 x_{25} & +  1.26 x_{31} & -7.42 x_{8} & -0.14 x_{20} & -0.12 x_{28} & -0.87 x_{24} & +  5.20 x_{14} & -1.94 x_{15} & +  0.24 x_{23} & +  6.49 x_{16}\\
\hline
z    &  30.6049082648 & +  0.08 x_{13} & +  5.98 x_{17} & -0.36 x_{26} & -3.15 x_{9} & -2.56 x_{12} & -2.74 x_{4} & -0.39 x_{18} & -0.37 x_{25} & +  0.53 x_{31} & -1.83 x_{8} & -0.22 x_{20} & +  0.24 x_{28} & -0.43 x_{24} & +  6.96 x_{14} & -5.43 x_{15} & +  0.11 x_{23} & +  3.13 x_{16}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.49914399118 & +  0.06 x_{19} & -1.41 x_{17} & +  0.05 x_{26} & -0.05 x_{9} & -0.78 x_{12} & +  0.32 x_{4} & +  0.11 x_{18} & -0.02 x_{25} & -0.06 x_{31} & +  0.68 x_{8} & +  0.01 x_{20} & -0.01 x_{28} & +  0.08 x_{24} & -0.76 x_{14} & +  0.14 x_{15} & +  0.01 x_{23} & -0.60 x_{16}\\
 x_{11}   &  1.77159889751 & -0.13 x_{19} & +  1.98 x_{17} & -0.14 x_{26} & +  0.35 x_{9} & +  1.01 x_{12} & -1.24 x_{4} & -0.14 x_{18} & +  0.04 x_{25} & +  0.06 x_{31} & -1.15 x_{8} & +  0.06 x_{20} & +  0.04 x_{28} & -0.06 x_{24} & +  0.21 x_{14} & -0.78 x_{15} & +  0.06 x_{23} & +  0.55 x_{16}\\
 x_{7}   &  3.5827183132 & +  0.00 x_{19} & +  0.95 x_{17} & -0.02 x_{26} & -0.21 x_{9} & +  0.01 x_{12} & +  0.18 x_{4} & -0.04 x_{18} & -0.06 x_{25} & +  0.03 x_{31} & -0.57 x_{8} & +  0.02 x_{20} & +  0.01 x_{28} & -0.04 x_{24} & +  0.62 x_{14} & -0.42 x_{15} & -0.06 x_{23} & +  0.59 x_{16}\\
 x_{21}   &  56.8951607576 & -0.46 x_{19} & +  6.11 x_{17} & -1.62 x_{26} & + 17.36 x_{9} & -8.13 x_{12} & -15.93 x_{4} & -1.29 x_{18} & +  0.04 x_{25} & +  1.05 x_{31} & -2.19 x_{8} & +  0.81 x_{20} & +  0.11 x_{28} & -0.43 x_{24} & + 11.93 x_{14} & -12.42 x_{15} & +  0.87 x_{23} & +  3.18 x_{16}\\
 x_{22}   &  24.8036036503 & +  2.03 x_{19} & -60.10 x_{17} & +  2.87 x_{26} & -6.12 x_{9} & -35.64 x_{12} & +  5.86 x_{4} & +  3.49 x_{18} & -0.09 x_{25} & -2.23 x_{31} & + 29.59 x_{8} & -1.30 x_{20} & -1.29 x_{28} & +  3.57 x_{24} & -34.19 x_{14} & + 24.36 x_{15} & +  0.07 x_{23} & +  1.41 x_{16}\\
 x_{10}   &  1.69172822117 & +  0.00 x_{19} & -0.64 x_{17} & +  0.02 x_{26} & -0.06 x_{9} & -0.05 x_{12} & -0.07 x_{4} & +  0.05 x_{18} & -0.04 x_{25} & -0.06 x_{31} & -0.19 x_{8} & -0.03 x_{20} & -0.03 x_{28} & +  0.04 x_{24} & -0.14 x_{14} & +  0.40 x_{15} & -0.04 x_{23} & +  0.46 x_{16}\\
 x_{1}   &  2.77983933653 & +  0.01 x_{19} & +  0.09 x_{17} & +  0.04 x_{26} & -0.86 x_{9} & -0.86 x_{12} & -0.05 x_{4} & +  0.03 x_{18} & -0.02 x_{25} & +  0.01 x_{31} & +  0.04 x_{8} & -0.05 x_{20} & +  0.02 x_{28} & +  0.09 x_{24} & +  0.14 x_{14} & -0.06 x_{15} & +  0.00 x_{23} & +  0.34 x_{16}\\
 x_{6}   &  2.87286488992 & -0.10 x_{19} & +  2.57 x_{17} & -0.18 x_{26} & +  0.93 x_{9} & +  0.70 x_{12} & -1.09 x_{4} & -0.14 x_{18} & -0.01 x_{25} & +  0.14 x_{31} & -0.87 x_{8} & +  0.03 x_{20} & +  0.05 x_{28} & -0.12 x_{24} & +  1.20 x_{14} & -1.35 x_{15} & +  0.02 x_{23} & +  0.45 x_{16}\\
 x_{5}   &  2.33532485245 & -0.03 x_{19} & +  0.18 x_{17} & +  0.05 x_{26} & -0.62 x_{9} & -0.39 x_{12} & +  0.31 x_{4} & +  0.03 x_{18} & -0.02 x_{25} & -0.03 x_{31} & -0.08 x_{8} & -0.01 x_{20} & +  0.03 x_{28} & +  0.03 x_{24} & -0.51 x_{14} & -0.36 x_{15} & +  0.03 x_{23} & -0.33 x_{16}\\
 x_{27}   &  13.6383318574 & -0.84 x_{19} & +  2.05 x_{17} & -0.45 x_{26} & -9.01 x_{9} & -3.70 x_{12} & -3.77 x_{4} & -0.43 x_{18} & +  0.35 x_{25} & +  0.11 x_{31} & -5.78 x_{8} & -0.08 x_{20} & -0.03 x_{28} & +  0.49 x_{24} & -3.22 x_{14} & +  7.92 x_{15} & -0.03 x_{23} & + 13.23 x_{16}\\
 x_{13}   &  0.545412229868 & -0.06 x_{19} & +  0.88 x_{17} & -0.09 x_{26} & +  0.70 x_{9} & -0.06 x_{12} & -0.08 x_{4} & -0.10 x_{18} & +  0.01 x_{25} & +  0.05 x_{31} & -0.12 x_{8} & +  0.02 x_{20} & -0.01 x_{28} & -0.05 x_{24} & -0.18 x_{14} & -0.40 x_{15} & +  0.09 x_{23} & -0.05 x_{16}\\
 x_{29}   &  44.4257790922 & -0.59 x_{19} & +  5.77 x_{17} & -0.42 x_{26} & +  2.88 x_{9} & -21.59 x_{12} & -10.58 x_{4} & -0.09 x_{18} & -0.25 x_{25} & +  1.19 x_{31} & + 11.72 x_{8} & -0.41 x_{20} & +  0.17 x_{28} & +  0.99 x_{24} & -4.08 x_{14} & -10.40 x_{15} & +  0.83 x_{23} & +  6.42 x_{16}\\
 x_{30}   &  65.9418565441 & -1.35 x_{19} & + 30.52 x_{17} & -1.80 x_{26} & +  3.49 x_{9} & +  5.96 x_{12} & -21.82 x_{4} & -1.76 x_{18} & -0.04 x_{25} & +  1.49 x_{31} & -16.04 x_{8} & +  0.81 x_{20} & +  1.34 x_{28} & -1.26 x_{24} & +  6.14 x_{14} & -16.68 x_{15} & +  0.57 x_{23} & -1.69 x_{16}\\
 x_{3}   &  2.73177343952 & -0.07 x_{19} & +  0.93 x_{17} & -0.01 x_{26} & -0.18 x_{9} & -1.12 x_{12} & -0.45 x_{4} & +  0.01 x_{18} & -0.02 x_{25} & +  0.04 x_{31} & -0.00 x_{8} & +  0.00 x_{20} & -0.00 x_{28} & +  0.09 x_{24} & -0.76 x_{14} & -1.06 x_{15} & +  0.04 x_{23} & +  0.74 x_{16}\\
 x_{32}   &  67.3123476535 & +  0.87 x_{19} & +  7.28 x_{17} & +  0.23 x_{26} & -13.12 x_{9} & -0.11 x_{12} & -7.77 x_{4} & -0.13 x_{18} & +  0.04 x_{25} & +  0.53 x_{31} & -5.87 x_{8} & -0.45 x_{20} & -0.02 x_{28} & -0.15 x_{24} & +  7.58 x_{14} & +  3.38 x_{15} & -0.94 x_{23} & +  7.13 x_{16}\\
\hline
z    &  30.6476481084 & -0.01 x_{19} & +  6.05 x_{17} & -0.36 x_{26} & -3.09 x_{9} & -2.57 x_{12} & -2.75 x_{4} & -0.39 x_{18} & -0.37 x_{25} & +  0.54 x_{31} & -1.84 x_{8} & -0.22 x_{20} & +  0.24 x_{28} & -0.43 x_{24} & +  6.94 x_{14} & -5.46 x_{15} & +  0.12 x_{23} & +  3.12 x_{16}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.94741865352 & +  0.01 x_{19} & -0.07 x_{17} & -0.01 x_{26} & +  0.09 x_{9} & +  0.02 x_{12} & +  0.19 x_{4} & +  0.03 x_{18} & -0.02 x_{25} & -0.01 x_{31} & +  0.02 x_{8} & +  0.04 x_{20} & +  0.01 x_{28} & +  0.00 x_{24} & +  0.02 x_{22} & -0.40 x_{15} & +  0.01 x_{23} & -0.63 x_{16}\\
 x_{11}   &  1.92655087837 & -0.11 x_{19} & +  1.60 x_{17} & -0.12 x_{26} & +  0.31 x_{9} & +  0.79 x_{12} & -1.20 x_{4} & -0.12 x_{18} & +  0.04 x_{25} & +  0.04 x_{31} & -0.97 x_{8} & +  0.05 x_{20} & +  0.03 x_{28} & -0.04 x_{24} & -0.01 x_{22} & -0.63 x_{15} & +  0.06 x_{23} & +  0.56 x_{16}\\
 x_{7}   &  4.03315519548 & +  0.04 x_{19} & -0.14 x_{17} & +  0.03 x_{26} & -0.32 x_{9} & -0.63 x_{12} & +  0.29 x_{4} & +  0.02 x_{18} & -0.06 x_{25} & -0.01 x_{31} & -0.03 x_{8} & -0.01 x_{20} & -0.01 x_{28} & +  0.03 x_{24} & -0.02 x_{22} & +  0.03 x_{15} & -0.06 x_{23} & +  0.62 x_{16}\\
 x_{21}   &  65.5488236641 & +  0.25 x_{19} & -14.86 x_{17} & -0.62 x_{26} & + 15.22 x_{9} & -20.56 x_{12} & -13.88 x_{4} & -0.08 x_{18} & +  0.01 x_{25} & +  0.27 x_{31} & +  8.13 x_{8} & +  0.36 x_{20} & -0.34 x_{28} & +  0.81 x_{24} & -0.35 x_{22} & -3.92 x_{15} & +  0.89 x_{23} & +  3.67 x_{16}\\
 x_{14}   &  0.725371097619 & +  0.06 x_{19} & -1.76 x_{17} & +  0.08 x_{26} & -0.18 x_{9} & -1.04 x_{12} & +  0.17 x_{4} & +  0.10 x_{18} & -0.00 x_{25} & -0.07 x_{31} & +  0.87 x_{8} & -0.04 x_{20} & -0.04 x_{28} & +  0.10 x_{24} & -0.03 x_{22} & +  0.71 x_{15} & +  0.00 x_{23} & +  0.04 x_{16}\\
 x_{10}   &  1.59008322341 & -0.01 x_{19} & -0.39 x_{17} & +  0.00 x_{26} & -0.04 x_{9} & +  0.09 x_{12} & -0.09 x_{4} & +  0.04 x_{18} & -0.04 x_{25} & -0.05 x_{31} & -0.31 x_{8} & -0.02 x_{20} & -0.02 x_{28} & +  0.02 x_{24} & +  0.00 x_{22} & +  0.30 x_{15} & -0.04 x_{23} & +  0.46 x_{16}\\
 x_{1}   &  2.87992599427 & +  0.02 x_{19} & -0.15 x_{17} & +  0.06 x_{26} & -0.88 x_{9} & -1.01 x_{12} & -0.02 x_{4} & +  0.05 x_{18} & -0.02 x_{25} & -0.00 x_{31} & +  0.16 x_{8} & -0.05 x_{20} & +  0.01 x_{28} & +  0.10 x_{24} & -0.00 x_{22} & +  0.04 x_{15} & +  0.00 x_{23} & +  0.34 x_{16}\\
 x_{6}   &  3.74658407032 & -0.03 x_{19} & +  0.45 x_{17} & -0.08 x_{26} & +  0.72 x_{9} & -0.55 x_{12} & -0.89 x_{4} & -0.02 x_{18} & -0.02 x_{25} & +  0.06 x_{31} & +  0.17 x_{8} & -0.02 x_{20} & +  0.00 x_{28} & +  0.00 x_{24} & -0.04 x_{22} & -0.49 x_{15} & +  0.02 x_{23} & +  0.50 x_{16}\\
 x_{5}   &  1.96200248745 & -0.06 x_{19} & +  1.08 x_{17} & +  0.01 x_{26} & -0.52 x_{9} & +  0.15 x_{12} & +  0.22 x_{4} & -0.02 x_{18} & -0.02 x_{25} & +  0.01 x_{31} & -0.53 x_{8} & +  0.01 x_{20} & +  0.04 x_{28} & -0.02 x_{24} & +  0.02 x_{22} & -0.73 x_{15} & +  0.02 x_{23} & -0.35 x_{16}\\
 x_{27}   &  11.3049000211 & -1.03 x_{19} & +  7.71 x_{17} & -0.72 x_{26} & -8.43 x_{9} & -0.34 x_{12} & -4.32 x_{4} & -0.76 x_{18} & +  0.36 x_{25} & +  0.32 x_{31} & -8.56 x_{8} & +  0.04 x_{20} & +  0.09 x_{28} & +  0.15 x_{24} & +  0.09 x_{22} & +  5.63 x_{15} & -0.03 x_{23} & + 13.10 x_{16}\\
 x_{13}   &  0.41626108635 & -0.08 x_{19} & +  1.19 x_{17} & -0.11 x_{26} & +  0.74 x_{9} & +  0.13 x_{12} & -0.11 x_{4} & -0.11 x_{18} & +  0.01 x_{25} & +  0.07 x_{31} & -0.27 x_{8} & +  0.03 x_{20} & -0.00 x_{28} & -0.07 x_{24} & +  0.01 x_{22} & -0.52 x_{15} & +  0.09 x_{23} & -0.06 x_{16}\\
 x_{29}   &  41.4636659822 & -0.84 x_{19} & + 12.95 x_{17} & -0.77 x_{26} & +  3.61 x_{9} & -17.33 x_{12} & -11.28 x_{4} & -0.50 x_{18} & -0.24 x_{25} & +  1.46 x_{31} & +  8.19 x_{8} & -0.26 x_{20} & +  0.32 x_{28} & +  0.57 x_{24} & +  0.12 x_{22} & -13.31 x_{15} & +  0.82 x_{23} & +  6.25 x_{16}\\
 x_{30}   &  70.3931007877 & -0.98 x_{19} & + 19.74 x_{17} & -1.29 x_{26} & +  2.39 x_{9} & -0.43 x_{12} & -20.76 x_{4} & -1.13 x_{18} & -0.06 x_{25} & +  1.09 x_{31} & -10.73 x_{8} & +  0.58 x_{20} & +  1.11 x_{28} & -0.62 x_{24} & -0.18 x_{22} & -12.30 x_{15} & +  0.58 x_{23} & -1.44 x_{16}\\
 x_{3}   &  2.18074991335 & -0.11 x_{19} & +  2.27 x_{17} & -0.08 x_{26} & -0.04 x_{9} & -0.33 x_{12} & -0.58 x_{4} & -0.06 x_{18} & -0.02 x_{25} & +  0.09 x_{31} & -0.66 x_{8} & +  0.03 x_{20} & +  0.03 x_{28} & +  0.01 x_{24} & +  0.02 x_{22} & -1.60 x_{15} & +  0.04 x_{23} & +  0.71 x_{16}\\
 x_{32}   &  72.8099275049 & +  1.32 x_{19} & -6.04 x_{17} & +  0.87 x_{26} & -14.48 x_{9} & -8.01 x_{12} & -6.47 x_{4} & +  0.65 x_{18} & +  0.01 x_{25} & +  0.04 x_{31} & +  0.69 x_{8} & -0.74 x_{20} & -0.31 x_{28} & +  0.64 x_{24} & -0.22 x_{22} & +  8.78 x_{15} & -0.93 x_{23} & +  7.44 x_{16}\\
\hline
z    &  35.6843890947 & +  0.41 x_{19} & -6.15 x_{17} & +  0.22 x_{26} & -4.33 x_{9} & -9.80 x_{12} & -1.56 x_{4} & +  0.31 x_{18} & -0.39 x_{25} & +  0.08 x_{31} & +  4.17 x_{8} & -0.48 x_{20} & -0.03 x_{28} & +  0.29 x_{24} & -0.20 x_{22} & -0.51 x_{15} & +  0.13 x_{23} & +  3.41 x_{16}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.97421532281 & +  0.01 x_{19} & -0.05 x_{17} & -0.01 x_{26} & +  0.07 x_{9} & +  0.02 x_{12} & +  0.18 x_{4} & +  0.03 x_{18} & -0.02 x_{25} & -0.01 x_{31} & -0.00 x_{27} & +  0.04 x_{20} & +  0.01 x_{28} & +  0.00 x_{24} & +  0.02 x_{22} & -0.39 x_{15} & +  0.01 x_{23} & -0.60 x_{16}\\
 x_{11}   &  0.647696904918 & +  0.00 x_{19} & +  0.73 x_{17} & -0.04 x_{26} & +  1.26 x_{9} & +  0.83 x_{12} & -0.71 x_{4} & -0.03 x_{18} & -0.00 x_{25} & +  0.01 x_{31} & +  0.11 x_{27} & +  0.05 x_{20} & +  0.02 x_{28} & -0.06 x_{24} & -0.02 x_{22} & -1.26 x_{15} & +  0.06 x_{23} & -0.92 x_{16}\\
 x_{7}   &  3.99371038774 & +  0.05 x_{19} & -0.17 x_{17} & +  0.03 x_{26} & -0.29 x_{9} & -0.63 x_{12} & +  0.30 x_{4} & +  0.03 x_{18} & -0.06 x_{25} & -0.01 x_{31} & +  0.00 x_{27} & -0.01 x_{20} & -0.01 x_{28} & +  0.03 x_{24} & -0.02 x_{22} & +  0.01 x_{15} & -0.06 x_{23} & +  0.57 x_{16}\\
 x_{21}   &  76.2900536737 & -0.73 x_{19} & -7.53 x_{17} & -1.30 x_{26} & +  7.21 x_{9} & -20.89 x_{12} & -17.99 x_{4} & -0.80 x_{18} & +  0.35 x_{25} & +  0.58 x_{31} & -0.95 x_{27} & +  0.40 x_{20} & -0.25 x_{28} & +  0.95 x_{24} & -0.26 x_{22} & +  1.43 x_{15} & +  0.86 x_{23} & + 16.12 x_{16}\\
 x_{14}   &  1.86803140519 & -0.04 x_{19} & -0.98 x_{17} & +  0.01 x_{26} & -1.03 x_{9} & -1.08 x_{12} & -0.27 x_{4} & +  0.03 x_{18} & +  0.03 x_{25} & -0.03 x_{31} & -0.10 x_{27} & -0.03 x_{20} & -0.03 x_{28} & +  0.12 x_{24} & -0.02 x_{22} & +  1.28 x_{15} & -0.00 x_{23} & +  1.36 x_{16}\\
 x_{10}   &  1.1782189215 & +  0.03 x_{19} & -0.67 x_{17} & +  0.03 x_{26} & +  0.27 x_{9} & +  0.11 x_{12} & +  0.07 x_{4} & +  0.06 x_{18} & -0.05 x_{25} & -0.06 x_{31} & +  0.04 x_{27} & -0.02 x_{20} & -0.03 x_{28} & +  0.02 x_{24} & +  0.00 x_{22} & +  0.09 x_{15} & -0.04 x_{23} & -0.02 x_{16}\\
 x_{1}   &  3.09030311518 & +  0.00 x_{19} & -0.01 x_{17} & +  0.04 x_{26} & -1.04 x_{9} & -1.01 x_{12} & -0.10 x_{4} & +  0.03 x_{18} & -0.01 x_{25} & +  0.00 x_{31} & -0.02 x_{27} & -0.05 x_{20} & +  0.02 x_{28} & +  0.10 x_{24} & -0.00 x_{22} & +  0.15 x_{15} & +  0.00 x_{23} & +  0.59 x_{16}\\
 x_{6}   &  3.96854509529 & -0.05 x_{19} & +  0.60 x_{17} & -0.09 x_{26} & +  0.55 x_{9} & -0.56 x_{12} & -0.97 x_{4} & -0.03 x_{18} & -0.01 x_{25} & +  0.07 x_{31} & -0.02 x_{27} & -0.02 x_{20} & +  0.00 x_{28} & +  0.01 x_{24} & -0.03 x_{22} & -0.38 x_{15} & +  0.02 x_{23} & +  0.75 x_{16}\\
 x_{5}   &  1.26504307225 & +  0.00 x_{19} & +  0.61 x_{17} & +  0.05 x_{26} & -0.00 x_{9} & +  0.17 x_{12} & +  0.49 x_{4} & +  0.02 x_{18} & -0.04 x_{25} & -0.01 x_{31} & +  0.06 x_{27} & +  0.01 x_{20} & +  0.04 x_{28} & -0.03 x_{24} & +  0.01 x_{22} & -1.08 x_{15} & +  0.03 x_{23} & -1.16 x_{16}\\
 x_{8}   &  1.32039352273 & -0.12 x_{19} & +  0.90 x_{17} & -0.08 x_{26} & -0.98 x_{9} & -0.04 x_{12} & -0.50 x_{4} & -0.09 x_{18} & +  0.04 x_{25} & +  0.04 x_{31} & -0.12 x_{27} & +  0.00 x_{20} & +  0.01 x_{28} & +  0.02 x_{24} & +  0.01 x_{22} & +  0.66 x_{15} & -0.00 x_{23} & +  1.53 x_{16}\\
 x_{13}   &  0.0592760415052 & -0.04 x_{19} & +  0.95 x_{17} & -0.08 x_{26} & +  1.00 x_{9} & +  0.14 x_{12} & +  0.03 x_{4} & -0.09 x_{18} & +  0.00 x_{25} & +  0.06 x_{31} & +  0.03 x_{27} & +  0.03 x_{20} & -0.00 x_{28} & -0.08 x_{24} & +  0.00 x_{22} & -0.70 x_{15} & +  0.09 x_{23} & -0.47 x_{16}\\
 x_{29}   &  52.2737312384 & -1.82 x_{19} & + 20.32 x_{17} & -1.45 x_{26} & -4.46 x_{9} & -17.66 x_{12} & -15.41 x_{4} & -1.23 x_{18} & +  0.11 x_{25} & +  1.77 x_{31} & -0.96 x_{27} & -0.22 x_{20} & +  0.41 x_{28} & +  0.71 x_{24} & +  0.21 x_{22} & -7.92 x_{15} & +  0.79 x_{23} & + 18.77 x_{16}\\
 x_{30}   &  56.2289796522 & +  0.31 x_{19} & + 10.08 x_{17} & -0.39 x_{26} & + 12.95 x_{9} & +  0.00 x_{12} & -15.35 x_{4} & -0.18 x_{18} & -0.51 x_{25} & +  0.69 x_{31} & +  1.25 x_{27} & +  0.53 x_{20} & +  0.99 x_{28} & -0.81 x_{24} & -0.30 x_{22} & -19.36 x_{15} & +  0.63 x_{23} & -17.85 x_{16}\\
 x_{3}   &  1.31236055918 & -0.03 x_{19} & +  1.67 x_{17} & -0.02 x_{26} & +  0.60 x_{9} & -0.30 x_{12} & -0.25 x_{4} & -0.01 x_{18} & -0.04 x_{25} & +  0.06 x_{31} & +  0.08 x_{27} & +  0.03 x_{20} & +  0.02 x_{28} & -0.00 x_{24} & +  0.01 x_{22} & -2.03 x_{15} & +  0.04 x_{23} & -0.30 x_{16}\\
 x_{32}   &  73.7231560738 & +  1.23 x_{19} & -5.42 x_{17} & +  0.81 x_{26} & -15.16 x_{9} & -8.04 x_{12} & -6.82 x_{4} & +  0.59 x_{18} & +  0.04 x_{25} & +  0.06 x_{31} & -0.08 x_{27} & -0.74 x_{20} & -0.30 x_{28} & +  0.65 x_{24} & -0.21 x_{22} & +  9.24 x_{15} & -0.93 x_{23} & +  8.50 x_{16}\\
\hline
z    &  41.1867631958 & -0.09 x_{19} & -2.40 x_{17} & -0.13 x_{26} & -8.44 x_{9} & -9.97 x_{12} & -3.66 x_{4} & -0.05 x_{18} & -0.21 x_{25} & +  0.24 x_{31} & -0.49 x_{27} & -0.46 x_{20} & +  0.02 x_{28} & +  0.37 x_{24} & -0.16 x_{22} & +  2.23 x_{15} & +  0.11 x_{23} & +  9.78 x_{16}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.94160212497 & +  0.03 x_{19} & -0.57 x_{17} & +  0.03 x_{26} & -0.48 x_{9} & -0.06 x_{12} & +  0.16 x_{4} & +  0.08 x_{18} & -0.02 x_{25} & -0.04 x_{31} & -0.02 x_{27} & +  0.02 x_{20} & +  0.02 x_{28} & +  0.04 x_{24} & +  0.02 x_{22} & +  0.55 x_{13} & -0.04 x_{23} & -0.35 x_{16}\\
 x_{11}   &  0.541181840436 & +  0.08 x_{19} & -0.97 x_{17} & +  0.11 x_{26} & -0.54 x_{9} & +  0.58 x_{12} & -0.76 x_{4} & +  0.13 x_{18} & -0.01 x_{25} & -0.09 x_{31} & +  0.06 x_{27} & -0.00 x_{20} & +  0.02 x_{28} & +  0.08 x_{24} & -0.02 x_{22} & +  1.80 x_{13} & -0.10 x_{23} & -0.08 x_{16}\\
 x_{7}   &  3.99434317033 & +  0.04 x_{19} & -0.16 x_{17} & +  0.03 x_{26} & -0.28 x_{9} & -0.63 x_{12} & +  0.30 x_{4} & +  0.03 x_{18} & -0.06 x_{25} & -0.01 x_{31} & +  0.00 x_{27} & -0.01 x_{20} & -0.01 x_{28} & +  0.03 x_{24} & -0.02 x_{22} & -0.01 x_{13} & -0.06 x_{23} & +  0.57 x_{16}\\
 x_{21}   &  76.4110005638 & -0.82 x_{19} & -5.60 x_{17} & -1.47 x_{26} & +  9.26 x_{9} & -20.60 x_{12} & -17.93 x_{4} & -0.98 x_{18} & +  0.36 x_{25} & +  0.69 x_{31} & -0.89 x_{27} & +  0.46 x_{20} & -0.26 x_{28} & +  0.80 x_{24} & -0.25 x_{22} & -2.04 x_{13} & +  1.04 x_{23} & + 15.16 x_{16}\\
 x_{14}   &  1.97618798773 & -0.12 x_{19} & +  0.75 x_{17} & -0.14 x_{26} & +  0.80 x_{9} & -0.82 x_{12} & -0.21 x_{4} & -0.14 x_{18} & +  0.04 x_{25} & +  0.07 x_{31} & -0.04 x_{27} & +  0.02 x_{20} & -0.04 x_{28} & -0.02 x_{24} & -0.02 x_{22} & -1.82 x_{13} & +  0.16 x_{23} & +  0.51 x_{16}\\
 x_{10}   &  1.18585716 & +  0.02 x_{19} & -0.55 x_{17} & +  0.02 x_{26} & +  0.40 x_{9} & +  0.12 x_{12} & +  0.07 x_{4} & +  0.05 x_{18} & -0.05 x_{25} & -0.05 x_{31} & +  0.04 x_{27} & -0.02 x_{20} & -0.03 x_{28} & +  0.01 x_{24} & +  0.00 x_{22} & -0.13 x_{13} & -0.03 x_{23} & -0.08 x_{16}\\
 x_{1}   &  3.10266948981 & -0.01 x_{19} & +  0.19 x_{17} & +  0.02 x_{26} & -0.83 x_{9} & -0.99 x_{12} & -0.10 x_{4} & +  0.01 x_{18} & -0.01 x_{25} & +  0.02 x_{31} & -0.01 x_{27} & -0.05 x_{20} & +  0.01 x_{28} & +  0.09 x_{24} & -0.00 x_{22} & -0.21 x_{13} & +  0.02 x_{23} & +  0.49 x_{16}\\
 x_{6}   &  3.93624108405 & -0.03 x_{19} & +  0.09 x_{17} & -0.05 x_{26} & +  0.00 x_{9} & -0.64 x_{12} & -0.99 x_{4} & +  0.02 x_{18} & -0.01 x_{25} & +  0.04 x_{31} & -0.04 x_{27} & -0.03 x_{20} & +  0.01 x_{28} & +  0.05 x_{24} & -0.03 x_{22} & +  0.54 x_{13} & -0.03 x_{23} & +  1.01 x_{16}\\
 x_{5}   &  1.17408710965 & +  0.07 x_{19} & -0.85 x_{17} & +  0.18 x_{26} & -1.54 x_{9} & -0.05 x_{12} & +  0.44 x_{4} & +  0.16 x_{18} & -0.05 x_{25} & -0.10 x_{31} & +  0.01 x_{27} & -0.03 x_{20} & +  0.05 x_{28} & +  0.09 x_{24} & +  0.01 x_{22} & +  1.53 x_{13} & -0.11 x_{23} & -0.44 x_{16}\\
 x_{8}   &  1.37590900794 & -0.16 x_{19} & +  1.79 x_{17} & -0.16 x_{26} & -0.05 x_{9} & +  0.09 x_{12} & -0.48 x_{4} & -0.17 x_{18} & +  0.05 x_{25} & +  0.09 x_{31} & -0.09 x_{27} & +  0.03 x_{20} & +  0.01 x_{28} & -0.05 x_{24} & +  0.01 x_{22} & -0.94 x_{13} & +  0.08 x_{23} & +  1.09 x_{16}\\
 x_{15}   &  0.0843803093885 & -0.06 x_{19} & +  1.35 x_{17} & -0.12 x_{26} & +  1.43 x_{9} & +  0.20 x_{12} & +  0.04 x_{4} & -0.13 x_{18} & +  0.00 x_{25} & +  0.08 x_{31} & +  0.04 x_{27} & +  0.04 x_{20} & -0.01 x_{28} & -0.11 x_{24} & +  0.00 x_{22} & -1.42 x_{13} & +  0.13 x_{23} & -0.67 x_{16}\\
 x_{29}   &  51.6053117657 & -1.34 x_{19} & +  9.66 x_{17} & -0.51 x_{26} & -15.77 x_{9} & -19.25 x_{12} & -15.73 x_{4} & -0.22 x_{18} & +  0.07 x_{25} & +  1.14 x_{31} & -1.31 x_{27} & -0.54 x_{20} & +  0.45 x_{28} & +  1.58 x_{24} & +  0.18 x_{22} & + 11.28 x_{13} & -0.21 x_{23} & + 24.05 x_{16}\\
 x_{30}   &  54.5951764153 & +  1.49 x_{19} & -15.98 x_{17} & +  1.91 x_{26} & -14.69 x_{9} & -3.87 x_{12} & -16.15 x_{4} & +  2.29 x_{18} & -0.60 x_{25} & -0.84 x_{31} & +  0.38 x_{27} & -0.27 x_{20} & +  1.10 x_{28} & +  1.32 x_{24} & -0.36 x_{22} & + 27.56 x_{13} & -1.82 x_{23} & -4.93 x_{16}\\
 x_{3}   &  1.1407114143 & +  0.09 x_{19} & -1.06 x_{17} & +  0.22 x_{26} & -2.30 x_{9} & -0.71 x_{12} & -0.33 x_{4} & +  0.25 x_{18} & -0.05 x_{25} & -0.10 x_{31} & -0.01 x_{27} & -0.06 x_{20} & +  0.03 x_{28} & +  0.22 x_{24} & +  0.01 x_{22} & +  2.90 x_{13} & -0.22 x_{23} & +  1.06 x_{16}\\
 x_{32}   &  74.5024435868 & +  0.67 x_{19} & +  7.01 x_{17} & -0.29 x_{26} & -1.97 x_{9} & -6.19 x_{12} & -6.44 x_{4} & -0.59 x_{18} & +  0.08 x_{25} & +  0.79 x_{31} & +  0.33 x_{27} & -0.36 x_{20} & -0.35 x_{28} & -0.36 x_{24} & -0.18 x_{22} & -13.15 x_{13} & +  0.24 x_{23} & +  2.34 x_{16}\\
\hline
z    &  41.3748600182 & -0.23 x_{19} & +  0.60 x_{17} & -0.40 x_{26} & -5.25 x_{9} & -9.53 x_{12} & -3.57 x_{4} & -0.34 x_{18} & -0.20 x_{25} & +  0.41 x_{31} & -0.39 x_{27} & -0.37 x_{20} & +  0.01 x_{28} & +  0.12 x_{24} & -0.15 x_{22} & -3.17 x_{13} & +  0.40 x_{23} & +  8.30 x_{16}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.89783260432 & +  0.07 x_{19} & -1.27 x_{17} & +  0.10 x_{26} & -1.22 x_{9} & -0.17 x_{12} & +  0.14 x_{4} & +  0.14 x_{18} & -0.02 x_{25} & -0.08 x_{31} & -0.04 x_{27} & +  0.00 x_{20} & +  0.02 x_{28} & +  0.10 x_{24} & +  0.02 x_{22} & +  1.29 x_{13} & -0.11 x_{23} & +  0.52 x_{15}\\
 x_{11}   &  0.530912549715 & +  0.09 x_{19} & -1.13 x_{17} & +  0.12 x_{26} & -0.71 x_{9} & +  0.55 x_{12} & -0.77 x_{4} & +  0.15 x_{18} & -0.01 x_{25} & -0.10 x_{31} & +  0.05 x_{27} & -0.01 x_{20} & +  0.02 x_{28} & +  0.09 x_{24} & -0.02 x_{22} & +  1.97 x_{13} & -0.11 x_{23} & +  0.12 x_{15}\\
 x_{7}   &  4.06589470408 & -0.01 x_{19} & +  0.99 x_{17} & -0.07 x_{26} & +  0.93 x_{9} & -0.46 x_{12} & +  0.34 x_{4} & -0.08 x_{18} & -0.06 x_{25} & +  0.06 x_{31} & +  0.04 x_{27} & +  0.03 x_{20} & -0.02 x_{28} & -0.06 x_{24} & -0.02 x_{22} & -1.22 x_{13} & +  0.05 x_{23} & -0.85 x_{15}\\
 x_{21}   &  78.3288198076 & -2.20 x_{19} & + 24.99 x_{17} & -4.17 x_{26} & + 41.71 x_{9} & -16.06 x_{12} & -17.00 x_{4} & -3.88 x_{18} & +  0.46 x_{25} & +  2.49 x_{31} & +  0.14 x_{27} & +  1.39 x_{20} & -0.38 x_{28} & -1.70 x_{24} & -0.18 x_{22} & -34.39 x_{13} & +  3.91 x_{23} & -22.73 x_{15}\\
 x_{14}   &  2.04069300185 & -0.17 x_{19} & +  1.78 x_{17} & -0.23 x_{26} & +  1.89 x_{9} & -0.67 x_{12} & -0.18 x_{4} & -0.24 x_{18} & +  0.04 x_{25} & +  0.13 x_{31} & -0.01 x_{27} & +  0.05 x_{20} & -0.04 x_{28} & -0.11 x_{24} & -0.01 x_{22} & -2.91 x_{13} & +  0.26 x_{23} & -0.76 x_{15}\\
 x_{10}   &  1.17593400827 & +  0.03 x_{19} & -0.71 x_{17} & +  0.03 x_{26} & +  0.23 x_{9} & +  0.10 x_{12} & +  0.07 x_{4} & +  0.07 x_{18} & -0.05 x_{25} & -0.06 x_{31} & +  0.04 x_{27} & -0.02 x_{20} & -0.03 x_{28} & +  0.02 x_{24} & +  0.00 x_{22} & +  0.04 x_{13} & -0.05 x_{23} & +  0.12 x_{15}\\
 x_{1}   &  3.16462609928 & -0.05 x_{19} & +  1.17 x_{17} & -0.06 x_{26} & +  0.22 x_{9} & -0.84 x_{12} & -0.07 x_{4} & -0.08 x_{18} & -0.01 x_{25} & +  0.07 x_{31} & +  0.02 x_{27} & -0.02 x_{20} & +  0.01 x_{28} & +  0.01 x_{24} & +  0.00 x_{22} & -1.25 x_{13} & +  0.11 x_{23} & -0.73 x_{15}\\
 x_{6}   &  4.06392588566 & -0.12 x_{19} & +  2.12 x_{17} & -0.23 x_{26} & +  2.16 x_{9} & -0.33 x_{12} & -0.92 x_{4} & -0.17 x_{18} & -0.01 x_{25} & +  0.16 x_{31} & +  0.03 x_{27} & +  0.03 x_{20} & -0.00 x_{28} & -0.12 x_{24} & -0.03 x_{22} & -1.61 x_{13} & +  0.16 x_{23} & -1.51 x_{15}\\
 x_{5}   &  1.11831050204 & +  0.11 x_{19} & -1.74 x_{17} & +  0.26 x_{26} & -2.49 x_{9} & -0.18 x_{12} & +  0.41 x_{4} & +  0.24 x_{18} & -0.05 x_{25} & -0.15 x_{31} & -0.02 x_{27} & -0.06 x_{20} & +  0.05 x_{28} & +  0.16 x_{24} & +  0.00 x_{22} & +  2.48 x_{13} & -0.19 x_{23} & +  0.66 x_{15}\\
 x_{8}   &  1.51389572958 & -0.26 x_{19} & +  3.99 x_{17} & -0.36 x_{26} & +  2.29 x_{9} & +  0.42 x_{12} & -0.41 x_{4} & -0.38 x_{18} & +  0.05 x_{25} & +  0.22 x_{31} & -0.01 x_{27} & +  0.10 x_{20} & -0.00 x_{28} & -0.23 x_{24} & +  0.02 x_{22} & -3.26 x_{13} & +  0.29 x_{23} & -1.64 x_{15}\\
 x_{16}   &  0.126513458294 & -0.09 x_{19} & +  2.02 x_{17} & -0.18 x_{26} & +  2.14 x_{9} & +  0.30 x_{12} & +  0.06 x_{4} & -0.19 x_{18} & +  0.01 x_{25} & +  0.12 x_{31} & +  0.07 x_{27} & +  0.06 x_{20} & -0.01 x_{28} & -0.16 x_{24} & +  0.00 x_{22} & -2.13 x_{13} & +  0.19 x_{23} & -1.50 x_{15}\\
 x_{29}   &  54.6483518496 & -3.54 x_{19} & + 58.20 x_{17} & -4.80 x_{26} & + 35.73 x_{9} & -12.03 x_{12} & -14.25 x_{4} & -4.82 x_{18} & +  0.23 x_{25} & +  3.99 x_{31} & +  0.31 x_{27} & +  0.94 x_{20} & +  0.25 x_{28} & -2.38 x_{24} & +  0.30 x_{22} & -40.06 x_{13} & +  4.35 x_{23} & -36.06 x_{15}\\
 x_{30}   &  53.9709363762 & +  1.94 x_{19} & -25.94 x_{17} & +  2.79 x_{26} & -25.26 x_{9} & -5.35 x_{12} & -16.45 x_{4} & +  3.23 x_{18} & -0.63 x_{25} & -1.43 x_{31} & +  0.05 x_{27} & -0.58 x_{20} & +  1.15 x_{28} & +  2.13 x_{24} & -0.38 x_{22} & + 38.09 x_{13} & -2.76 x_{23} & +  7.40 x_{15}\\
 x_{3}   &  1.2744722529 & -0.01 x_{19} & +  1.07 x_{17} & +  0.03 x_{26} & -0.04 x_{9} & -0.39 x_{12} & -0.26 x_{4} & +  0.05 x_{18} & -0.05 x_{25} & +  0.03 x_{31} & +  0.06 x_{27} & +  0.01 x_{20} & +  0.02 x_{28} & +  0.05 x_{24} & +  0.01 x_{22} & +  0.64 x_{13} & -0.02 x_{23} & -1.59 x_{15}\\
 x_{32}   &  74.798566917 & +  0.46 x_{19} & + 11.74 x_{17} & -0.70 x_{26} & +  3.04 x_{9} & -5.49 x_{12} & -6.30 x_{4} & -1.04 x_{18} & +  0.10 x_{25} & +  1.07 x_{31} & +  0.49 x_{27} & -0.21 x_{20} & -0.37 x_{28} & -0.75 x_{24} & -0.17 x_{22} & -18.14 x_{13} & +  0.68 x_{23} & -3.51 x_{15}\\
\hline
z    &  42.4244457947 & -0.99 x_{19} & + 17.34 x_{17} & -1.88 x_{26} & + 12.51 x_{9} & -7.04 x_{12} & -3.06 x_{4} & -1.93 x_{18} & -0.15 x_{25} & +  1.40 x_{31} & +  0.17 x_{27} & +  0.14 x_{20} & -0.06 x_{28} & -1.24 x_{24} & -0.11 x_{22} & -20.88 x_{13} & +  1.97 x_{23} & -12.44 x_{15}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.34783168216 & +  0.01 x_{19} & -0.42 x_{17} & -0.03 x_{26} & +  0.49 x_{5} & -0.08 x_{12} & -0.06 x_{4} & +  0.02 x_{18} & +  0.00 x_{25} & -0.01 x_{31} & -0.03 x_{27} & +  0.03 x_{20} & -0.00 x_{28} & +  0.02 x_{24} & +  0.02 x_{22} & +  0.07 x_{13} & -0.01 x_{23} & +  0.19 x_{15}\\
 x_{11}   &  0.209496309325 & +  0.05 x_{19} & -0.64 x_{17} & +  0.05 x_{26} & +  0.29 x_{5} & +  0.60 x_{12} & -0.89 x_{4} & +  0.08 x_{18} & +  0.00 x_{25} & -0.06 x_{31} & +  0.06 x_{27} & +  0.01 x_{20} & +  0.01 x_{28} & +  0.05 x_{24} & -0.02 x_{22} & +  1.26 x_{13} & -0.06 x_{23} & -0.07 x_{15}\\
 x_{7}   &  4.48460836012 & +  0.03 x_{19} & +  0.34 x_{17} & +  0.03 x_{26} & -0.37 x_{5} & -0.53 x_{12} & +  0.49 x_{4} & +  0.01 x_{18} & -0.08 x_{25} & +  0.00 x_{31} & +  0.04 x_{27} & +  0.00 x_{20} & -0.00 x_{28} & -0.01 x_{24} & -0.01 x_{22} & -0.29 x_{13} & -0.02 x_{23} & -0.60 x_{15}\\
 x_{21}   &  97.0883411249 & -0.34 x_{19} & -4.12 x_{17} & +  0.18 x_{26} & -16.77 x_{5} & -19.04 x_{12} & -10.05 x_{4} & +  0.23 x_{18} & -0.40 x_{25} & -0.04 x_{31} & -0.14 x_{27} & +  0.35 x_{20} & +  0.44 x_{28} & +  0.99 x_{24} & -0.12 x_{22} & +  7.13 x_{13} & +  0.67 x_{23} & -11.64 x_{15}\\
 x_{14}   &  2.89102041025 & -0.09 x_{19} & +  0.46 x_{17} & -0.03 x_{26} & -0.76 x_{5} & -0.80 x_{12} & +  0.13 x_{4} & -0.05 x_{18} & +  0.00 x_{25} & +  0.01 x_{31} & -0.02 x_{27} & +  0.00 x_{20} & -0.00 x_{28} & +  0.02 x_{24} & -0.01 x_{22} & -1.03 x_{13} & +  0.11 x_{23} & -0.26 x_{15}\\
 x_{10}   &  1.27968644439 & +  0.04 x_{19} & -0.87 x_{17} & +  0.06 x_{26} & -0.09 x_{5} & +  0.08 x_{12} & +  0.11 x_{4} & +  0.09 x_{18} & -0.05 x_{25} & -0.08 x_{31} & +  0.03 x_{27} & -0.03 x_{20} & -0.02 x_{28} & +  0.03 x_{24} & +  0.00 x_{22} & +  0.27 x_{13} & -0.06 x_{23} & +  0.18 x_{15}\\
 x_{1}   &  3.26192046529 & -0.04 x_{19} & +  1.02 x_{17} & -0.04 x_{26} & -0.09 x_{5} & -0.85 x_{12} & -0.03 x_{4} & -0.06 x_{18} & -0.01 x_{25} & +  0.06 x_{31} & +  0.02 x_{27} & -0.02 x_{20} & +  0.01 x_{28} & +  0.02 x_{24} & +  0.00 x_{22} & -1.04 x_{13} & +  0.10 x_{23} & -0.68 x_{15}\\
 x_{6}   &  5.03724145193 & -0.02 x_{19} & +  0.61 x_{17} & -0.00 x_{26} & -0.87 x_{5} & -0.49 x_{12} & -0.56 x_{4} & +  0.04 x_{18} & -0.05 x_{25} & +  0.03 x_{31} & +  0.02 x_{27} & -0.02 x_{20} & +  0.04 x_{28} & +  0.02 x_{24} & -0.03 x_{22} & +  0.55 x_{13} & -0.00 x_{23} & -0.94 x_{15}\\
 x_{9}   &  0.449774199306 & +  0.04 x_{19} & -0.70 x_{17} & +  0.10 x_{26} & -0.40 x_{5} & -0.07 x_{12} & +  0.17 x_{4} & +  0.10 x_{18} & -0.02 x_{25} & -0.06 x_{31} & -0.01 x_{27} & -0.02 x_{20} & +  0.02 x_{28} & +  0.06 x_{24} & +  0.00 x_{22} & +  1.00 x_{13} & -0.08 x_{23} & +  0.27 x_{15}\\
 x_{8}   &  2.54367186288 & -0.16 x_{19} & +  2.39 x_{17} & -0.12 x_{26} & -0.92 x_{5} & +  0.26 x_{12} & -0.03 x_{4} & -0.16 x_{18} & +  0.01 x_{25} & +  0.08 x_{31} & -0.03 x_{27} & +  0.04 x_{20} & +  0.04 x_{28} & -0.09 x_{24} & +  0.02 x_{22} & -0.98 x_{13} & +  0.11 x_{23} & -1.03 x_{15}\\
 x_{16}   &  1.08938097255 & +  0.00 x_{19} & +  0.52 x_{17} & +  0.05 x_{26} & -0.86 x_{5} & +  0.15 x_{12} & +  0.42 x_{4} & +  0.02 x_{18} & -0.04 x_{25} & -0.01 x_{31} & +  0.05 x_{27} & +  0.01 x_{20} & +  0.03 x_{28} & -0.03 x_{24} & +  0.01 x_{22} & -0.00 x_{13} & +  0.02 x_{23} & -0.93 x_{15}\\
 x_{29}   &  70.7172184134 & -1.95 x_{19} & + 33.26 x_{17} & -1.07 x_{26} & -14.37 x_{5} & -14.58 x_{12} & -8.30 x_{4} & -1.30 x_{18} & -0.50 x_{25} & +  1.83 x_{31} & +  0.07 x_{27} & +  0.05 x_{20} & +  0.95 x_{28} & -0.08 x_{24} & +  0.35 x_{22} & -4.49 x_{13} & +  1.57 x_{23} & -26.57 x_{15}\\
 x_{30}   &  42.6114737546 & +  0.82 x_{19} & -8.31 x_{17} & +  0.16 x_{26} & + 10.16 x_{5} & -3.55 x_{12} & -20.66 x_{4} & +  0.75 x_{18} & -0.11 x_{25} & +  0.10 x_{31} & +  0.22 x_{27} & +  0.05 x_{20} & +  0.65 x_{28} & +  0.50 x_{24} & -0.42 x_{22} & + 12.95 x_{13} & -0.80 x_{23} & +  0.68 x_{15}\\
 x_{3}   &  1.25724688937 & -0.01 x_{19} & +  1.10 x_{17} & +  0.03 x_{26} & +  0.02 x_{5} & -0.39 x_{12} & -0.27 x_{4} & +  0.05 x_{18} & -0.04 x_{25} & +  0.03 x_{31} & +  0.06 x_{27} & +  0.01 x_{20} & +  0.02 x_{28} & +  0.04 x_{24} & +  0.01 x_{22} & +  0.60 x_{13} & -0.01 x_{23} & -1.60 x_{15}\\
 x_{32}   &  76.1641933528 & +  0.59 x_{19} & +  9.62 x_{17} & -0.39 x_{26} & -1.22 x_{5} & -5.71 x_{12} & -5.79 x_{4} & -0.74 x_{18} & +  0.04 x_{25} & +  0.89 x_{31} & +  0.47 x_{27} & -0.29 x_{20} & -0.31 x_{28} & -0.55 x_{24} & -0.17 x_{22} & -15.12 x_{13} & +  0.45 x_{23} & -2.70 x_{15}\\
\hline
z    &  48.0500213964 & -0.43 x_{19} & +  8.61 x_{17} & -0.57 x_{26} & -5.03 x_{5} & -7.93 x_{12} & -0.97 x_{4} & -0.70 x_{18} & -0.41 x_{25} & +  0.64 x_{31} & +  0.09 x_{27} & -0.17 x_{20} & +  0.18 x_{28} & -0.44 x_{24} & -0.09 x_{22} & -8.43 x_{13} & +  1.00 x_{23} & -9.11 x_{15}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.21050442605 & -0.03 x_{19} & +  0.66 x_{11} & -0.06 x_{26} & +  0.30 x_{5} & -0.47 x_{12} & +  0.52 x_{4} & -0.03 x_{18} & -0.00 x_{25} & +  0.03 x_{31} & -0.07 x_{27} & +  0.02 x_{20} & -0.01 x_{28} & -0.01 x_{24} & +  0.03 x_{22} & -0.75 x_{13} & +  0.03 x_{23} & +  0.24 x_{15}\\
 x_{17}   &  0.329448724294 & +  0.09 x_{19} & -1.57 x_{11} & +  0.08 x_{26} & +  0.45 x_{5} & +  0.95 x_{12} & -1.40 x_{4} & +  0.12 x_{18} & +  0.01 x_{25} & -0.09 x_{31} & +  0.09 x_{27} & +  0.02 x_{20} & +  0.02 x_{28} & +  0.08 x_{24} & -0.04 x_{22} & +  1.98 x_{13} & -0.09 x_{23} & -0.11 x_{15}\\
 x_{7}   &  4.59517600337 & +  0.06 x_{19} & -0.53 x_{11} & +  0.05 x_{26} & -0.22 x_{5} & -0.21 x_{12} & +  0.02 x_{4} & +  0.05 x_{18} & -0.08 x_{25} & -0.03 x_{31} & +  0.07 x_{27} & +  0.01 x_{20} & +  0.01 x_{28} & +  0.02 x_{24} & -0.03 x_{22} & +  0.37 x_{13} & -0.06 x_{23} & -0.64 x_{15}\\
 x_{21}   &  95.7312550739 & -0.70 x_{19} & +  6.48 x_{11} & -0.13 x_{26} & -18.64 x_{5} & -22.95 x_{12} & -4.30 x_{4} & -0.26 x_{18} & -0.43 x_{25} & +  0.33 x_{31} & -0.50 x_{27} & +  0.28 x_{20} & +  0.37 x_{28} & +  0.67 x_{24} & +  0.02 x_{22} & -1.02 x_{13} & +  1.05 x_{23} & -11.20 x_{15}\\
 x_{14}   &  3.04136246575 & -0.05 x_{19} & -0.72 x_{11} & -0.00 x_{26} & -0.55 x_{5} & -0.37 x_{12} & -0.50 x_{4} & +  0.00 x_{18} & +  0.01 x_{25} & -0.03 x_{31} & +  0.02 x_{27} & +  0.01 x_{20} & +  0.01 x_{28} & +  0.05 x_{24} & -0.03 x_{22} & -0.13 x_{13} & +  0.07 x_{23} & -0.31 x_{15}\\
 x_{10}   &  0.992732249773 & -0.03 x_{19} & +  1.37 x_{11} & -0.01 x_{26} & -0.49 x_{5} & -0.74 x_{12} & +  1.32 x_{4} & -0.01 x_{18} & -0.06 x_{25} & +  0.00 x_{31} & -0.04 x_{27} & -0.04 x_{20} & -0.04 x_{28} & -0.03 x_{24} & +  0.03 x_{22} & -1.46 x_{13} & +  0.02 x_{23} & +  0.27 x_{15}\\
 x_{1}   &  3.5990360604 & +  0.05 x_{19} & -1.61 x_{11} & +  0.04 x_{26} & +  0.38 x_{5} & +  0.12 x_{12} & -1.46 x_{4} & +  0.06 x_{18} & -0.00 x_{25} & -0.03 x_{31} & +  0.11 x_{27} & -0.01 x_{20} & +  0.03 x_{28} & +  0.10 x_{24} & -0.04 x_{22} & +  0.99 x_{13} & +  0.00 x_{23} & -0.79 x_{15}\\
 x_{6}   &  5.2393075902 & +  0.03 x_{19} & -0.96 x_{11} & +  0.04 x_{26} & -0.59 x_{5} & +  0.10 x_{12} & -1.42 x_{4} & +  0.11 x_{18} & -0.05 x_{25} & -0.03 x_{31} & +  0.07 x_{27} & -0.01 x_{20} & +  0.05 x_{28} & +  0.07 x_{24} & -0.05 x_{22} & +  1.76 x_{13} & -0.06 x_{23} & -1.00 x_{15}\\
 x_{9}   &  0.219870318388 & -0.02 x_{19} & +  1.10 x_{11} & +  0.05 x_{26} & -0.72 x_{5} & -0.74 x_{12} & +  1.14 x_{4} & +  0.02 x_{18} & -0.03 x_{25} & +  0.00 x_{31} & -0.07 x_{27} & -0.04 x_{20} & +  0.01 x_{28} & +  0.01 x_{24} & +  0.03 x_{22} & -0.39 x_{13} & -0.01 x_{23} & +  0.34 x_{15}\\
 x_{8}   &  3.33077294087 & +  0.05 x_{19} & -3.76 x_{11} & +  0.06 x_{26} & +  0.16 x_{5} & +  2.53 x_{12} & -3.36 x_{4} & +  0.13 x_{18} & +  0.02 x_{25} & -0.14 x_{31} & +  0.18 x_{27} & +  0.08 x_{20} & +  0.08 x_{28} & +  0.10 x_{24} & -0.06 x_{22} & +  3.74 x_{13} & -0.11 x_{23} & -1.28 x_{15}\\
 x_{16}   &  1.26203610154 & +  0.05 x_{19} & -0.82 x_{11} & +  0.08 x_{26} & -0.62 x_{5} & +  0.65 x_{12} & -0.31 x_{4} & +  0.08 x_{18} & -0.03 x_{25} & -0.06 x_{31} & +  0.10 x_{27} & +  0.02 x_{20} & +  0.04 x_{28} & +  0.01 x_{24} & -0.01 x_{22} & +  1.03 x_{13} & -0.02 x_{23} & -0.99 x_{15}\\
 x_{29}   &  81.6762218401 & +  0.93 x_{19} & -52.31 x_{11} & +  1.44 x_{26} & +  0.67 x_{5} & + 17.06 x_{12} & -54.72 x_{4} & +  2.63 x_{18} & -0.27 x_{25} & -1.20 x_{31} & +  2.98 x_{27} & +  0.60 x_{20} & +  1.52 x_{28} & +  2.45 x_{24} & -0.82 x_{22} & + 61.35 x_{13} & -1.46 x_{23} & -30.14 x_{15}\\
 x_{30}   &  39.8721804675 & +  0.10 x_{19} & + 13.08 x_{11} & -0.47 x_{26} & +  6.40 x_{5} & -11.46 x_{12} & -9.05 x_{4} & -0.24 x_{18} & -0.17 x_{25} & +  0.86 x_{31} & -0.51 x_{27} & -0.09 x_{20} & +  0.51 x_{28} & -0.13 x_{24} & -0.13 x_{22} & -3.51 x_{13} & -0.04 x_{23} & +  1.58 x_{15}\\
 x_{3}   &  1.61872248057 & +  0.09 x_{19} & -1.73 x_{11} & +  0.11 x_{26} & +  0.51 x_{5} & +  0.65 x_{12} & -1.80 x_{4} & +  0.18 x_{18} & -0.04 x_{25} & -0.07 x_{31} & +  0.15 x_{27} & +  0.03 x_{20} & +  0.04 x_{28} & +  0.13 x_{24} & -0.03 x_{22} & +  2.77 x_{13} & -0.11 x_{23} & -1.71 x_{15}\\
 x_{32}   &  79.3329549437 & +  1.42 x_{19} & -15.13 x_{11} & +  0.34 x_{26} & +  3.13 x_{5} & +  3.44 x_{12} & -19.21 x_{4} & +  0.40 x_{18} & +  0.11 x_{25} & +  0.01 x_{31} & +  1.31 x_{27} & -0.13 x_{20} & -0.15 x_{28} & +  0.18 x_{24} & -0.51 x_{22} & +  3.92 x_{13} & -0.43 x_{23} & -3.73 x_{15}\\
\hline
z    &  50.8881623325 & +  0.31 x_{19} & -13.55 x_{11} & +  0.08 x_{26} & -1.14 x_{5} & +  0.27 x_{12} & -13.00 x_{4} & +  0.32 x_{18} & -0.35 x_{25} & -0.14 x_{31} & +  0.84 x_{27} & -0.03 x_{20} & +  0.33 x_{28} & +  0.22 x_{24} & -0.39 x_{22} & +  8.62 x_{13} & +  0.21 x_{23} & -10.04 x_{15}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  2.06849340762 & -0.02 x_{19} & -0.05 x_{11} & -0.10 x_{26} & +  0.77 x_{5} & +  0.65 x_{9} & -0.22 x_{4} & -0.04 x_{18} & +  0.02 x_{25} & +  0.03 x_{31} & -0.03 x_{27} & +  0.05 x_{20} & -0.02 x_{28} & -0.02 x_{24} & +  0.02 x_{22} & -0.50 x_{13} & +  0.04 x_{23} & +  0.02 x_{15}\\
 x_{17}   &  0.613907104234 & +  0.07 x_{19} & -0.15 x_{11} & +  0.14 x_{26} & -0.48 x_{5} & -1.29 x_{9} & +  0.08 x_{4} & +  0.14 x_{18} & -0.03 x_{25} & -0.09 x_{31} & -0.00 x_{27} & -0.03 x_{20} & +  0.03 x_{28} & +  0.09 x_{24} & -0.00 x_{22} & +  1.48 x_{13} & -0.11 x_{23} & +  0.33 x_{15}\\
 x_{7}   &  4.5327396109 & +  0.07 x_{19} & -0.84 x_{11} & +  0.04 x_{26} & -0.02 x_{5} & +  0.28 x_{9} & -0.30 x_{4} & +  0.04 x_{18} & -0.07 x_{25} & -0.03 x_{31} & +  0.08 x_{27} & +  0.02 x_{20} & +  0.00 x_{28} & +  0.02 x_{24} & -0.03 x_{22} & +  0.48 x_{13} & -0.05 x_{23} & -0.73 x_{15}\\
 x_{21}   &  88.8673367901 & -0.21 x_{19} & -27.78 x_{11} & -1.74 x_{26} & +  3.77 x_{5} & + 31.22 x_{9} & -39.90 x_{4} & -0.76 x_{18} & +  0.37 x_{25} & +  0.25 x_{31} & +  1.61 x_{27} & +  1.43 x_{20} & +  0.12 x_{28} & +  0.32 x_{24} & -0.79 x_{22} & + 11.02 x_{13} & +  1.49 x_{23} & -21.84 x_{15}\\
 x_{14}   &  2.93113164386 & -0.04 x_{19} & -1.27 x_{11} & -0.03 x_{26} & -0.19 x_{5} & +  0.50 x_{9} & -1.07 x_{4} & -0.00 x_{18} & +  0.02 x_{25} & -0.03 x_{31} & +  0.05 x_{27} & +  0.03 x_{20} & +  0.00 x_{28} & +  0.05 x_{24} & -0.04 x_{22} & +  0.07 x_{13} & +  0.08 x_{23} & -0.48 x_{15}\\
 x_{10}   &  0.769994032836 & -0.02 x_{19} & +  0.26 x_{11} & -0.06 x_{26} & +  0.24 x_{5} & +  1.01 x_{9} & +  0.17 x_{4} & -0.03 x_{18} & -0.03 x_{25} & -0.00 x_{31} & +  0.03 x_{27} & -0.01 x_{20} & -0.04 x_{28} & -0.04 x_{24} & +  0.01 x_{22} & -1.07 x_{13} & +  0.03 x_{23} & -0.07 x_{15}\\
 x_{1}   &  3.63486624018 & +  0.04 x_{19} & -1.43 x_{11} & +  0.05 x_{26} & +  0.26 x_{5} & -0.16 x_{9} & -1.27 x_{4} & +  0.06 x_{18} & -0.01 x_{25} & -0.03 x_{31} & +  0.10 x_{27} & -0.01 x_{20} & +  0.03 x_{28} & +  0.10 x_{24} & -0.03 x_{22} & +  0.92 x_{13} & -0.00 x_{23} & -0.73 x_{15}\\
 x_{6}   &  5.26786705521 & +  0.03 x_{19} & -0.82 x_{11} & +  0.05 x_{26} & -0.69 x_{5} & -0.13 x_{9} & -1.27 x_{4} & +  0.11 x_{18} & -0.05 x_{25} & -0.03 x_{31} & +  0.06 x_{27} & -0.02 x_{20} & +  0.05 x_{28} & +  0.07 x_{24} & -0.04 x_{22} & +  1.71 x_{13} & -0.06 x_{23} & -0.96 x_{15}\\
 x_{12}   &  0.29903159578 & -0.02 x_{19} & +  1.49 x_{11} & +  0.07 x_{26} & -0.98 x_{5} & -1.36 x_{9} & +  1.55 x_{4} & +  0.02 x_{18} & -0.03 x_{25} & +  0.00 x_{31} & -0.09 x_{27} & -0.05 x_{20} & +  0.01 x_{28} & +  0.02 x_{24} & +  0.04 x_{22} & -0.52 x_{13} & -0.02 x_{23} & +  0.46 x_{15}\\
 x_{8}   &  4.08665876909 & -0.01 x_{19} & +  0.02 x_{11} & +  0.24 x_{26} & -2.31 x_{5} & -3.44 x_{9} & +  0.56 x_{4} & +  0.18 x_{18} & -0.07 x_{25} & -0.13 x_{31} & -0.05 x_{27} & -0.04 x_{20} & +  0.11 x_{28} & +  0.13 x_{24} & +  0.03 x_{22} & +  2.42 x_{13} & -0.16 x_{23} & -0.11 x_{15}\\
 x_{16}   &  1.45510297895 & +  0.04 x_{19} & +  0.14 x_{11} & +  0.13 x_{26} & -1.25 x_{5} & -0.88 x_{9} & +  0.69 x_{4} & +  0.10 x_{18} & -0.06 x_{25} & -0.06 x_{31} & +  0.04 x_{27} & -0.02 x_{20} & +  0.05 x_{28} & +  0.02 x_{24} & +  0.01 x_{22} & +  0.70 x_{13} & -0.04 x_{23} & -0.69 x_{15}\\
 x_{29}   &  86.7778909954 & +  0.56 x_{19} & -26.85 x_{11} & +  2.64 x_{26} & -15.98 x_{5} & -23.20 x_{9} & -28.26 x_{4} & +  3.00 x_{18} & -0.86 x_{25} & -1.13 x_{31} & +  1.41 x_{27} & -0.25 x_{20} & +  1.70 x_{28} & +  2.72 x_{24} & -0.21 x_{22} & + 52.40 x_{13} & -1.78 x_{23} & -22.23 x_{15}\\
 x_{30}   &  36.4453277625 & +  0.34 x_{19} & -4.03 x_{11} & -1.28 x_{26} & + 17.58 x_{5} & + 15.59 x_{9} & -26.83 x_{4} & -0.48 x_{18} & +  0.23 x_{25} & +  0.81 x_{31} & +  0.55 x_{27} & +  0.49 x_{20} & +  0.39 x_{28} & -0.30 x_{24} & -0.53 x_{22} & +  2.50 x_{13} & +  0.18 x_{23} & -3.74 x_{15}\\
 x_{3}   &  1.81377197056 & +  0.07 x_{19} & -0.75 x_{11} & +  0.16 x_{26} & -0.13 x_{5} & -0.89 x_{9} & -0.79 x_{4} & +  0.19 x_{18} & -0.06 x_{25} & -0.07 x_{31} & +  0.09 x_{27} & -0.01 x_{20} & +  0.05 x_{28} & +  0.14 x_{24} & -0.00 x_{22} & +  2.43 x_{13} & -0.13 x_{23} & -1.41 x_{15}\\
 x_{32}   &  80.3627275922 & +  1.35 x_{19} & -9.99 x_{11} & +  0.58 x_{26} & -0.23 x_{5} & -4.68 x_{9} & -13.87 x_{4} & +  0.47 x_{18} & -0.01 x_{25} & +  0.03 x_{31} & +  1.00 x_{27} & -0.30 x_{20} & -0.11 x_{28} & +  0.23 x_{24} & -0.39 x_{22} & +  2.11 x_{13} & -0.49 x_{23} & -2.14 x_{15}\\
\hline
z    &  50.9675002455 & +  0.31 x_{19} & -13.15 x_{11} & +  0.10 x_{26} & -1.40 x_{5} & -0.36 x_{9} & -12.58 x_{4} & +  0.33 x_{18} & -0.35 x_{25} & -0.14 x_{31} & +  0.82 x_{27} & -0.04 x_{20} & +  0.33 x_{28} & +  0.22 x_{24} & -0.39 x_{22} & +  8.49 x_{13} & +  0.21 x_{23} & -9.92 x_{15}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  1.78075700954 & +  0.01 x_{19} & -1.49 x_{11} & -0.16 x_{26} & +  1.71 x_{5} & +  1.95 x_{9} & -1.71 x_{4} & -0.06 x_{18} & +  0.05 x_{25} & +  0.02 x_{31} & +  0.06 x_{27} & +  0.10 x_{20} & -0.03 x_{28} & -0.03 x_{24} & -0.02 x_{22} & +  0.96 x_{12} & +  0.05 x_{23} & -0.43 x_{15}\\
 x_{17}   &  1.45770832927 & +  0.01 x_{19} & +  4.06 x_{11} & +  0.34 x_{26} & -3.23 x_{5} & -5.13 x_{9} & +  4.46 x_{4} & +  0.20 x_{18} & -0.12 x_{25} & -0.08 x_{31} & -0.26 x_{27} & -0.17 x_{20} & +  0.06 x_{28} & +  0.13 x_{24} & +  0.10 x_{22} & -2.82 x_{12} & -0.16 x_{23} & +  1.64 x_{15}\\
 x_{7}   &  4.8080067369 & +  0.05 x_{19} & +  0.53 x_{11} & +  0.10 x_{26} & -0.92 x_{5} & -0.97 x_{9} & +  1.13 x_{4} & +  0.06 x_{18} & -0.10 x_{25} & -0.02 x_{31} & -0.00 x_{27} & -0.03 x_{20} & +  0.01 x_{28} & +  0.03 x_{24} & -0.00 x_{22} & -0.92 x_{12} & -0.07 x_{23} & -0.31 x_{15}\\
 x_{21}   &  95.1478739859 & -0.66 x_{19} & +  3.57 x_{11} & -0.26 x_{26} & -16.73 x_{5} & +  2.65 x_{9} & -7.33 x_{4} & -0.30 x_{18} & -0.36 x_{25} & +  0.33 x_{31} & -0.32 x_{27} & +  0.38 x_{20} & +  0.34 x_{28} & +  0.64 x_{24} & -0.04 x_{22} & -21.00 x_{12} & +  1.09 x_{23} & -12.10 x_{15}\\
 x_{14}   &  2.96879200667 & -0.04 x_{19} & -1.08 x_{11} & -0.02 x_{26} & -0.32 x_{5} & +  0.33 x_{9} & -0.88 x_{4} & -0.00 x_{18} & +  0.02 x_{25} & -0.03 x_{31} & +  0.04 x_{27} & +  0.02 x_{20} & +  0.00 x_{28} & +  0.05 x_{24} & -0.04 x_{22} & -0.13 x_{12} & +  0.07 x_{23} & -0.42 x_{15}\\
 x_{10}   &  0.162878994888 & +  0.03 x_{19} & -2.77 x_{11} & -0.20 x_{26} & +  2.22 x_{5} & +  3.77 x_{9} & -2.98 x_{4} & -0.07 x_{18} & +  0.04 x_{25} & -0.01 x_{31} & +  0.21 x_{27} & +  0.09 x_{20} & -0.07 x_{28} & -0.07 x_{24} & -0.07 x_{22} & +  2.03 x_{12} & +  0.07 x_{23} & -1.01 x_{15}\\
 x_{1}   &  4.16162392339 & +  0.01 x_{19} & +  1.20 x_{11} & +  0.17 x_{26} & -1.46 x_{5} & -2.56 x_{9} & +  1.46 x_{4} & +  0.10 x_{18} & -0.07 x_{25} & -0.03 x_{31} & -0.06 x_{27} & -0.10 x_{20} & +  0.05 x_{28} & +  0.13 x_{24} & +  0.03 x_{22} & -1.76 x_{12} & -0.03 x_{23} & +  0.09 x_{15}\\
 x_{6}   &  6.24217662482 & -0.04 x_{19} & +  4.04 x_{11} & +  0.28 x_{26} & -3.87 x_{5} & -4.56 x_{9} & +  3.78 x_{4} & +  0.18 x_{18} & -0.16 x_{25} & -0.02 x_{31} & -0.24 x_{27} & -0.18 x_{20} & +  0.08 x_{28} & +  0.12 x_{24} & +  0.07 x_{22} & -3.26 x_{12} & -0.13 x_{23} & +  0.55 x_{15}\\
 x_{13}   &  0.569994158788 & -0.04 x_{19} & +  2.84 x_{11} & +  0.13 x_{26} & -1.86 x_{5} & -2.59 x_{9} & +  2.96 x_{4} & +  0.04 x_{18} & -0.07 x_{25} & +  0.01 x_{31} & -0.18 x_{27} & -0.10 x_{20} & +  0.02 x_{28} & +  0.03 x_{24} & +  0.07 x_{22} & -1.91 x_{12} & -0.04 x_{23} & +  0.88 x_{15}\\
 x_{8}   &  5.46491269876 & -0.10 x_{19} & +  6.89 x_{11} & +  0.57 x_{26} & -6.81 x_{5} & -9.71 x_{9} & +  7.71 x_{4} & +  0.28 x_{18} & -0.23 x_{25} & -0.11 x_{31} & -0.48 x_{27} & -0.27 x_{20} & +  0.16 x_{28} & +  0.20 x_{24} & +  0.19 x_{22} & -4.61 x_{12} & -0.25 x_{23} & +  2.02 x_{15}\\
 x_{16}   &  1.8516297768 & +  0.01 x_{19} & +  2.12 x_{11} & +  0.22 x_{26} & -2.55 x_{5} & -2.68 x_{9} & +  2.74 x_{4} & +  0.12 x_{18} & -0.10 x_{25} & -0.05 x_{31} & -0.08 x_{27} & -0.08 x_{20} & +  0.06 x_{28} & +  0.04 x_{24} & +  0.06 x_{22} & -1.33 x_{12} & -0.06 x_{23} & -0.07 x_{15}\\
 x_{29}   &  116.647278122 & -1.57 x_{19} & + 122.24 x_{11} & +  9.68 x_{26} & -113.47 x_{5} & -159.05 x_{9} & + 126.65 x_{4} & +  5.16 x_{18} & -4.33 x_{25} & -0.75 x_{31} & -7.79 x_{27} & -5.23 x_{20} & +  2.75 x_{28} & +  4.24 x_{24} & +  3.32 x_{22} & -99.89 x_{12} & -3.71 x_{23} & + 24.07 x_{15}\\
 x_{30}   &  37.8719247805 & +  0.24 x_{19} & +  3.09 x_{11} & -0.94 x_{26} & + 12.93 x_{5} & +  9.10 x_{9} & -19.43 x_{4} & -0.38 x_{18} & +  0.06 x_{25} & +  0.83 x_{31} & +  0.11 x_{27} & +  0.25 x_{20} & +  0.44 x_{28} & -0.23 x_{24} & -0.36 x_{22} & -4.77 x_{12} & +  0.09 x_{23} & -1.52 x_{15}\\
 x_{3}   &  3.19926219206 & -0.03 x_{19} & +  6.16 x_{11} & +  0.48 x_{26} & -4.65 x_{5} & -7.19 x_{9} & +  6.40 x_{4} & +  0.29 x_{18} & -0.22 x_{25} & -0.05 x_{31} & -0.33 x_{27} & -0.24 x_{20} & +  0.10 x_{28} & +  0.21 x_{24} & +  0.16 x_{22} & -4.63 x_{12} & -0.21 x_{23} & +  0.74 x_{15}\\
 x_{32}   &  81.5669140374 & +  1.26 x_{19} & -3.98 x_{11} & +  0.86 x_{26} & -4.16 x_{5} & -10.16 x_{9} & -7.63 x_{4} & +  0.56 x_{18} & -0.15 x_{25} & +  0.04 x_{31} & +  0.63 x_{27} & -0.50 x_{20} & -0.07 x_{28} & +  0.29 x_{24} & -0.24 x_{22} & -4.03 x_{12} & -0.57 x_{23} & -0.27 x_{15}\\
\hline
z    &  55.8042231061 & -0.04 x_{19} & + 10.99 x_{11} & +  1.24 x_{26} & -17.18 x_{5} & -22.36 x_{9} & + 12.50 x_{4} & +  0.68 x_{18} & -0.92 x_{25} & -0.08 x_{31} & -0.67 x_{27} & -0.85 x_{20} & +  0.50 x_{28} & +  0.47 x_{24} & +  0.19 x_{22} & -16.17 x_{12} & -0.10 x_{23} & -2.42 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  1.68741079394 & -0.01 x_{19} & +  0.10 x_{11} & -0.05 x_{26} & +  0.43 x_{5} & -0.21 x_{9} & +  0.57 x_{10} & -0.02 x_{18} & +  0.03 x_{25} & +  0.03 x_{31} & -0.06 x_{27} & +  0.04 x_{20} & +  0.01 x_{28} & +  0.01 x_{24} & +  0.02 x_{22} & -0.20 x_{12} & +  0.02 x_{23} & +  0.15 x_{15}\\
 x_{17}   &  1.70102333372 & +  0.04 x_{19} & -0.08 x_{11} & +  0.04 x_{26} & +  0.09 x_{5} & +  0.51 x_{9} & -1.49 x_{10} & +  0.09 x_{18} & -0.07 x_{25} & -0.09 x_{31} & +  0.06 x_{27} & -0.03 x_{20} & -0.04 x_{28} & +  0.02 x_{24} & -0.00 x_{22} & +  0.21 x_{12} & -0.06 x_{23} & +  0.13 x_{15}\\
 x_{7}   &  4.86949445449 & +  0.06 x_{19} & -0.51 x_{11} & +  0.03 x_{26} & -0.08 x_{5} & +  0.46 x_{9} & -0.38 x_{10} & +  0.04 x_{18} & -0.09 x_{25} & -0.03 x_{31} & +  0.08 x_{27} & +  0.01 x_{20} & -0.01 x_{28} & +  0.00 x_{24} & -0.03 x_{22} & -0.15 x_{12} & -0.04 x_{23} & -0.69 x_{15}\\
 x_{21}   &  94.7476716364 & -0.72 x_{19} & + 10.38 x_{11} & +  0.24 x_{26} & -22.19 x_{5} & -6.62 x_{9} & +  2.46 x_{10} & -0.12 x_{18} & -0.45 x_{25} & +  0.35 x_{31} & -0.85 x_{27} & +  0.15 x_{20} & +  0.51 x_{28} & +  0.83 x_{24} & +  0.12 x_{22} & -25.99 x_{12} & +  0.92 x_{23} & -9.61 x_{15}\\
 x_{14}   &  2.92076579185 & -0.05 x_{19} & -0.26 x_{11} & +  0.04 x_{26} & -0.97 x_{5} & -0.78 x_{9} & +  0.29 x_{10} & +  0.02 x_{18} & +  0.00 x_{25} & -0.03 x_{31} & -0.02 x_{27} & -0.00 x_{20} & +  0.02 x_{28} & +  0.07 x_{24} & -0.02 x_{22} & -0.72 x_{12} & +  0.05 x_{23} & -0.12 x_{15}\\
 x_{4}   &  0.0546029314401 & +  0.01 x_{19} & -0.93 x_{11} & -0.07 x_{26} & +  0.74 x_{5} & +  1.27 x_{9} & -0.34 x_{10} & -0.02 x_{18} & +  0.01 x_{25} & -0.00 x_{31} & +  0.07 x_{27} & +  0.03 x_{20} & -0.02 x_{28} & -0.02 x_{24} & -0.02 x_{22} & +  0.68 x_{12} & +  0.02 x_{23} & -0.34 x_{15}\\
 x_{1}   &  4.24121509951 & +  0.02 x_{19} & -0.16 x_{11} & +  0.07 x_{26} & -0.37 x_{5} & -0.71 x_{9} & -0.49 x_{10} & +  0.07 x_{18} & -0.05 x_{25} & -0.03 x_{31} & +  0.04 x_{27} & -0.05 x_{20} & +  0.02 x_{28} & +  0.09 x_{24} & -0.00 x_{22} & -0.77 x_{12} & -0.00 x_{23} & -0.41 x_{15}\\
 x_{6}   &  6.44866461308 & -0.01 x_{19} & +  0.53 x_{11} & +  0.02 x_{26} & -1.05 x_{5} & +  0.22 x_{9} & -1.27 x_{10} & +  0.09 x_{18} & -0.12 x_{25} & -0.03 x_{31} & +  0.03 x_{27} & -0.06 x_{20} & +  0.00 x_{28} & +  0.03 x_{24} & -0.01 x_{22} & -0.68 x_{12} & -0.04 x_{23} & -0.73 x_{15}\\
 x_{13}   &  0.731410496465 & -0.02 x_{19} & +  0.10 x_{11} & -0.07 x_{26} & +  0.34 x_{5} & +  1.15 x_{9} & -0.99 x_{10} & -0.03 x_{18} & -0.03 x_{25} & -0.00 x_{31} & +  0.04 x_{27} & -0.00 x_{20} & -0.05 x_{28} & -0.04 x_{24} & +  0.00 x_{22} & +  0.11 x_{12} & +  0.03 x_{23} & -0.12 x_{15}\\
 x_{8}   &  5.88564055898 & -0.04 x_{19} & -0.27 x_{11} & +  0.04 x_{26} & -1.07 x_{5} & +  0.04 x_{9} & -2.58 x_{10} & +  0.09 x_{18} & -0.13 x_{25} & -0.13 x_{31} & +  0.07 x_{27} & -0.03 x_{20} & -0.01 x_{28} & +  0.01 x_{24} & +  0.02 x_{22} & +  0.64 x_{12} & -0.07 x_{23} & -0.59 x_{15}\\
 x_{16}   &  2.00148848965 & +  0.03 x_{19} & -0.43 x_{11} & +  0.04 x_{26} & -0.50 x_{5} & +  0.79 x_{9} & -0.92 x_{10} & +  0.06 x_{18} & -0.07 x_{25} & -0.06 x_{31} & +  0.11 x_{27} & +  0.01 x_{20} & +  0.00 x_{28} & -0.03 x_{24} & -0.00 x_{22} & +  0.54 x_{12} & +  0.00 x_{23} & -1.01 x_{15}\\
 x_{29}   &  123.562629257 & -0.48 x_{19} & +  4.54 x_{11} & +  1.01 x_{26} & -19.13 x_{5} & +  1.19 x_{9} & -42.46 x_{10} & +  2.02 x_{18} & -2.76 x_{25} & -1.09 x_{31} & +  1.26 x_{27} & -1.24 x_{20} & -0.06 x_{28} & +  1.08 x_{24} & +  0.49 x_{22} & -13.69 x_{12} & -0.80 x_{23} & -18.98 x_{15}\\
 x_{30}   &  36.8111428221 & +  0.07 x_{19} & + 21.15 x_{11} & +  0.39 x_{26} & -1.54 x_{5} & -15.48 x_{9} & +  6.51 x_{10} & +  0.10 x_{18} & -0.18 x_{25} & +  0.88 x_{31} & -1.28 x_{27} & -0.36 x_{20} & +  0.87 x_{28} & +  0.25 x_{24} & +  0.07 x_{22} & -17.99 x_{12} & -0.36 x_{23} & +  5.08 x_{15}\\
 x_{3}   &  3.54845895915 & +  0.03 x_{19} & +  0.22 x_{11} & +  0.05 x_{26} & +  0.12 x_{5} & +  0.90 x_{9} & -2.14 x_{10} & +  0.13 x_{18} & -0.14 x_{25} & -0.07 x_{31} & +  0.12 x_{27} & -0.03 x_{20} & -0.05 x_{28} & +  0.05 x_{24} & +  0.02 x_{22} & -0.28 x_{12} & -0.07 x_{23} & -1.44 x_{15}\\
 x_{32}   &  81.1503550306 & +  1.20 x_{19} & +  3.11 x_{11} & +  1.39 x_{26} & -9.85 x_{5} & -19.81 x_{9} & +  2.56 x_{10} & +  0.75 x_{18} & -0.25 x_{25} & +  0.06 x_{31} & +  0.08 x_{27} & -0.74 x_{20} & +  0.10 x_{28} & +  0.48 x_{24} & -0.07 x_{22} & -9.22 x_{12} & -0.75 x_{23} & +  2.32 x_{15}\\
\hline
z    &  56.4867788099 & +  0.07 x_{19} & -0.63 x_{11} & +  0.38 x_{26} & -7.87 x_{5} & -6.54 x_{9} & -4.19 x_{10} & +  0.37 x_{18} & -0.76 x_{25} & -0.11 x_{31} & +  0.22 x_{27} & -0.45 x_{20} & +  0.22 x_{28} & +  0.16 x_{24} & -0.09 x_{22} & -7.67 x_{12} & +  0.18 x_{23} & -6.67 x_{15}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  1.65330358435 & -0.01 x_{19} & +  0.68 x_{11} & -0.00 x_{26} & -0.03 x_{5} & -1.00 x_{9} & +  0.78 x_{10} & +  0.62 x_{4} & +  0.02 x_{25} & +  0.03 x_{31} & -0.11 x_{27} & +  0.02 x_{20} & +  0.03 x_{28} & +  0.03 x_{24} & +  0.03 x_{22} & -0.63 x_{12} & +  0.00 x_{23} & +  0.37 x_{15}\\
 x_{17}   &  1.89733905095 & +  0.08 x_{19} & -3.42 x_{11} & -0.21 x_{26} & +  2.77 x_{5} & +  5.06 x_{9} & -2.70 x_{10} & -3.60 x_{4} & -0.02 x_{25} & -0.10 x_{31} & +  0.32 x_{27} & +  0.08 x_{20} & -0.12 x_{28} & -0.07 x_{24} & -0.08 x_{22} & +  2.66 x_{12} & +  0.02 x_{23} & -1.09 x_{15}\\
 x_{7}   &  4.95071810373 & +  0.07 x_{19} & -1.89 x_{11} & -0.08 x_{26} & +  1.03 x_{5} & +  2.34 x_{9} & -0.88 x_{10} & -1.49 x_{4} & -0.07 x_{25} & -0.03 x_{31} & +  0.19 x_{27} & +  0.06 x_{20} & -0.05 x_{28} & -0.03 x_{24} & -0.06 x_{22} & +  0.86 x_{12} & -0.01 x_{23} & -1.19 x_{15}\\
 x_{21}   &  94.4798169192 & -0.76 x_{19} & + 14.94 x_{11} & +  0.57 x_{26} & -25.85 x_{5} & -12.83 x_{9} & +  4.10 x_{10} & +  4.91 x_{4} & -0.51 x_{25} & +  0.36 x_{31} & -1.20 x_{27} & -0.01 x_{20} & +  0.62 x_{28} & +  0.95 x_{24} & +  0.23 x_{22} & -29.33 x_{12} & +  0.80 x_{23} & -7.94 x_{15}\\
 x_{14}   &  2.96672687647 & -0.04 x_{19} & -1.04 x_{11} & -0.01 x_{26} & -0.35 x_{5} & +  0.28 x_{9} & +  0.01 x_{10} & -0.84 x_{4} & +  0.02 x_{25} & -0.03 x_{31} & +  0.04 x_{27} & +  0.02 x_{20} & +  0.00 x_{28} & +  0.05 x_{24} & -0.03 x_{22} & -0.15 x_{12} & +  0.07 x_{23} & -0.41 x_{15}\\
 x_{18}   &  2.19996144978 & +  0.35 x_{19} & -37.44 x_{11} & -2.76 x_{26} & + 30.01 x_{5} & + 50.98 x_{9} & -13.51 x_{10} & -40.29 x_{4} & +  0.50 x_{25} & -0.11 x_{31} & +  2.88 x_{27} & +  1.27 x_{20} & -0.89 x_{28} & -1.01 x_{24} & -0.90 x_{22} & + 27.42 x_{12} & +  0.93 x_{23} & -13.69 x_{15}\\
 x_{1}   &  4.38678678061 & +  0.04 x_{19} & -2.63 x_{11} & -0.11 x_{26} & +  1.61 x_{5} & +  2.66 x_{9} & -1.38 x_{10} & -2.67 x_{4} & -0.02 x_{25} & -0.04 x_{31} & +  0.23 x_{27} & +  0.03 x_{20} & -0.04 x_{28} & +  0.03 x_{24} & -0.06 x_{22} & +  1.05 x_{12} & +  0.06 x_{23} & -1.32 x_{15}\\
 x_{6}   &  6.64601189295 & +  0.02 x_{19} & -2.83 x_{11} & -0.23 x_{26} & +  1.64 x_{5} & +  4.80 x_{9} & -2.48 x_{10} & -3.61 x_{4} & -0.07 x_{25} & -0.04 x_{31} & +  0.29 x_{27} & +  0.05 x_{20} & -0.08 x_{28} & -0.06 x_{24} & -0.09 x_{22} & +  1.78 x_{12} & +  0.04 x_{23} & -1.96 x_{15}\\
 x_{13}   &  0.660657846197 & -0.03 x_{19} & +  1.30 x_{11} & +  0.02 x_{26} & -0.62 x_{5} & -0.49 x_{9} & -0.56 x_{10} & +  1.30 x_{4} & -0.05 x_{25} & +  0.00 x_{31} & -0.06 x_{27} & -0.04 x_{20} & -0.02 x_{28} & -0.01 x_{24} & +  0.03 x_{22} & -0.78 x_{12} & +  0.00 x_{23} & +  0.32 x_{15}\\
 x_{8}   &  6.08319961014 & -0.01 x_{19} & -3.63 x_{11} & -0.21 x_{26} & +  1.63 x_{5} & +  4.62 x_{9} & -3.80 x_{10} & -3.62 x_{4} & -0.09 x_{25} & -0.14 x_{31} & +  0.33 x_{27} & +  0.08 x_{20} & -0.09 x_{28} & -0.08 x_{24} & -0.06 x_{22} & +  3.10 x_{12} & +  0.01 x_{23} & -1.82 x_{15}\\
 x_{16}   &  2.12426969507 & +  0.05 x_{19} & -2.52 x_{11} & -0.12 x_{26} & +  1.17 x_{5} & +  3.64 x_{9} & -1.67 x_{10} & -2.25 x_{4} & -0.04 x_{25} & -0.06 x_{31} & +  0.27 x_{27} & +  0.08 x_{20} & -0.05 x_{28} & -0.08 x_{24} & -0.05 x_{22} & +  2.07 x_{12} & +  0.05 x_{23} & -1.77 x_{15}\\
 x_{29}   &  127.995775917 & +  0.22 x_{19} & -70.92 x_{11} & -4.54 x_{26} & + 41.34 x_{5} & + 103.92 x_{9} & -69.67 x_{10} & -81.19 x_{4} & -1.76 x_{25} & -1.31 x_{31} & +  7.06 x_{27} & +  1.31 x_{20} & -1.87 x_{28} & -0.95 x_{24} & -1.32 x_{22} & + 41.57 x_{12} & +  1.06 x_{23} & -46.57 x_{15}\\
 x_{30}   &  37.0341932823 & +  0.11 x_{19} & + 17.35 x_{11} & +  0.11 x_{26} & +  1.50 x_{5} & -10.31 x_{9} & +  5.14 x_{10} & -4.08 x_{4} & -0.13 x_{25} & +  0.87 x_{31} & -0.99 x_{27} & -0.23 x_{20} & +  0.78 x_{28} & +  0.15 x_{24} & -0.02 x_{22} & -15.21 x_{12} & -0.26 x_{23} & +  3.69 x_{15}\\
 x_{3}   &  3.84148746097 & +  0.07 x_{19} & -4.77 x_{11} & -0.32 x_{26} & +  4.11 x_{5} & +  7.69 x_{9} & -3.94 x_{10} & -5.37 x_{4} & -0.07 x_{25} & -0.08 x_{31} & +  0.51 x_{27} & +  0.13 x_{20} & -0.17 x_{28} & -0.09 x_{24} & -0.10 x_{22} & +  3.37 x_{12} & +  0.06 x_{23} & -3.26 x_{15}\\
 x_{32}   &  82.791819165 & +  1.46 x_{19} & -24.82 x_{11} & -0.67 x_{26} & + 12.55 x_{5} & + 18.22 x_{9} & -7.52 x_{10} & -30.06 x_{4} & +  0.12 x_{25} & -0.02 x_{31} & +  2.23 x_{27} & +  0.20 x_{20} & -0.57 x_{28} & -0.27 x_{24} & -0.74 x_{22} & + 11.24 x_{12} & -0.06 x_{23} & -7.90 x_{15}\\
\hline
z    &  57.296882361 & +  0.20 x_{19} & -14.42 x_{11} & -0.63 x_{26} & +  3.18 x_{5} & + 12.23 x_{9} & -9.16 x_{10} & -14.84 x_{4} & -0.58 x_{25} & -0.15 x_{31} & +  1.28 x_{27} & +  0.01 x_{20} & -0.11 x_{28} & -0.22 x_{24} & -0.42 x_{22} & +  2.43 x_{12} & +  0.52 x_{23} & -11.71 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  1.61864828417 & -0.01 x_{19} & +  0.61 x_{11} & -0.01 x_{26} & +  0.05 x_{13} & -0.97 x_{9} & +  0.81 x_{10} & +  0.56 x_{4} & +  0.02 x_{25} & +  0.03 x_{31} & -0.10 x_{27} & +  0.02 x_{20} & +  0.03 x_{28} & +  0.03 x_{24} & +  0.03 x_{22} & -0.59 x_{12} & +  0.00 x_{23} & +  0.35 x_{15}\\
 x_{17}   &  4.82928792619 & -0.04 x_{19} & +  2.35 x_{11} & -0.12 x_{26} & -4.44 x_{13} & +  2.87 x_{9} & -5.17 x_{10} & +  2.16 x_{4} & -0.23 x_{25} & -0.09 x_{31} & +  0.06 x_{27} & -0.11 x_{20} & -0.20 x_{28} & -0.12 x_{24} & +  0.05 x_{22} & -0.79 x_{12} & +  0.03 x_{23} & +  0.32 x_{15}\\
 x_{7}   &  6.04158347954 & +  0.03 x_{19} & +  0.26 x_{11} & -0.04 x_{26} & -1.65 x_{13} & +  1.53 x_{9} & -1.80 x_{10} & +  0.65 x_{4} & -0.14 x_{25} & -0.03 x_{31} & +  0.09 x_{27} & -0.01 x_{20} & -0.07 x_{28} & -0.05 x_{24} & -0.01 x_{22} & -0.42 x_{12} & -0.01 x_{23} & -0.67 x_{15}\\
 x_{21}   &  67.0929469884 & +  0.33 x_{19} & -39.03 x_{11} & -0.28 x_{26} & + 41.45 x_{13} & +  7.55 x_{9} & + 27.18 x_{10} & -48.81 x_{4} & +  1.38 x_{25} & +  0.25 x_{31} & +  1.17 x_{27} & +  1.77 x_{20} & +  1.31 x_{28} & +  1.46 x_{24} & -1.03 x_{22} & +  2.84 x_{12} & +  0.75 x_{23} & -21.17 x_{15}\\
 x_{14}   &  2.60070526604 & -0.03 x_{19} & -1.77 x_{11} & -0.03 x_{26} & +  0.55 x_{13} & +  0.55 x_{9} & +  0.32 x_{10} & -1.56 x_{4} & +  0.04 x_{25} & -0.03 x_{31} & +  0.07 x_{27} & +  0.05 x_{20} & +  0.01 x_{28} & +  0.06 x_{24} & -0.05 x_{22} & +  0.28 x_{12} & +  0.07 x_{23} & -0.59 x_{15}\\
 x_{18}   &  34.0004854101 & -0.92 x_{19} & + 25.22 x_{11} & -1.76 x_{26} & -48.13 x_{13} & + 27.32 x_{9} & -40.30 x_{10} & + 22.08 x_{4} & -1.70 x_{25} & +  0.02 x_{31} & +  0.14 x_{27} & -0.79 x_{20} & -1.70 x_{28} & -1.60 x_{24} & +  0.56 x_{22} & -9.93 x_{12} & +  0.99 x_{23} & +  1.67 x_{15}\\
 x_{1}   &  6.09380955091 & -0.03 x_{19} & +  0.73 x_{11} & -0.06 x_{26} & -2.58 x_{13} & +  1.39 x_{9} & -2.82 x_{10} & +  0.68 x_{4} & -0.14 x_{25} & -0.03 x_{31} & +  0.08 x_{27} & -0.08 x_{20} & -0.08 x_{28} & -0.01 x_{24} & +  0.02 x_{22} & -0.96 x_{12} & +  0.06 x_{23} & -0.49 x_{15}\\
 x_{6}   &  8.38677342672 & -0.05 x_{19} & +  0.60 x_{11} & -0.17 x_{26} & -2.63 x_{13} & +  3.50 x_{9} & -3.95 x_{10} & -0.20 x_{4} & -0.19 x_{25} & -0.03 x_{31} & +  0.14 x_{27} & -0.06 x_{20} & -0.12 x_{28} & -0.10 x_{24} & -0.01 x_{22} & -0.27 x_{12} & +  0.05 x_{23} & -1.12 x_{15}\\
 x_{5}   &  1.05960764469 & -0.04 x_{19} & +  2.09 x_{11} & +  0.03 x_{26} & -1.60 x_{13} & -0.79 x_{9} & -0.89 x_{10} & +  2.08 x_{4} & -0.07 x_{25} & +  0.00 x_{31} & -0.09 x_{27} & -0.07 x_{20} & -0.03 x_{28} & -0.02 x_{24} & +  0.05 x_{22} & -1.24 x_{12} & +  0.00 x_{23} & +  0.51 x_{15}\\
 x_{8}   &  7.8085731041 & -0.08 x_{19} & -0.23 x_{11} & -0.16 x_{26} & -2.61 x_{13} & +  3.34 x_{9} & -5.25 x_{10} & -0.23 x_{4} & -0.20 x_{25} & -0.13 x_{31} & +  0.18 x_{27} & -0.03 x_{20} & -0.14 x_{28} & -0.11 x_{24} & +  0.02 x_{22} & +  1.07 x_{12} & +  0.02 x_{23} & -0.99 x_{15}\\
 x_{16}   &  3.36496831505 & +  0.00 x_{19} & -0.08 x_{11} & -0.08 x_{26} & -1.88 x_{13} & +  2.71 x_{9} & -2.72 x_{10} & +  0.18 x_{4} & -0.13 x_{25} & -0.06 x_{31} & +  0.17 x_{27} & -0.00 x_{20} & -0.08 x_{28} & -0.10 x_{24} & +  0.00 x_{22} & +  0.62 x_{12} & +  0.05 x_{23} & -1.17 x_{15}\\
 x_{29}   &  171.804401215 & -1.53 x_{19} & + 15.41 x_{11} & -3.17 x_{26} & -66.31 x_{13} & + 71.32 x_{9} & -106.59 x_{10} & +  4.73 x_{4} & -4.78 x_{25} & -1.13 x_{31} & +  3.28 x_{27} & -1.53 x_{20} & -2.98 x_{28} & -1.77 x_{24} & +  0.69 x_{22} & -9.89 x_{12} & +  1.16 x_{23} & -25.40 x_{15}\\
 x_{30}   &  38.6232888255 & +  0.05 x_{19} & + 20.48 x_{11} & +  0.16 x_{26} & -2.41 x_{13} & -11.50 x_{9} & +  3.80 x_{10} & -0.97 x_{4} & -0.24 x_{25} & +  0.88 x_{31} & -1.13 x_{27} & -0.34 x_{20} & +  0.74 x_{28} & +  0.12 x_{24} & +  0.05 x_{22} & -17.08 x_{12} & -0.26 x_{23} & +  4.46 x_{15}\\
 x_{3}   &  8.20071101355 & -0.10 x_{19} & +  3.82 x_{11} & -0.19 x_{26} & -6.60 x_{13} & +  4.45 x_{9} & -7.62 x_{10} & +  3.18 x_{4} & -0.38 x_{25} & -0.06 x_{31} & +  0.13 x_{27} & -0.15 x_{20} & -0.28 x_{28} & -0.17 x_{24} & +  0.10 x_{22} & -1.75 x_{12} & +  0.06 x_{23} & -1.15 x_{15}\\
 x_{32}   &  96.0846710521 & +  0.93 x_{19} & +  1.37 x_{11} & -0.25 x_{26} & -20.12 x_{13} & +  8.33 x_{9} & -18.72 x_{10} & -3.99 x_{4} & -0.79 x_{25} & +  0.04 x_{31} & +  1.08 x_{27} & -0.66 x_{20} & -0.90 x_{28} & -0.52 x_{24} & -0.13 x_{22} & -4.37 x_{12} & -0.03 x_{23} & -1.47 x_{15}\\
\hline
z    &  60.6676895563 & +  0.06 x_{19} & -7.77 x_{11} & -0.53 x_{26} & -5.10 x_{13} & +  9.72 x_{9} & -12.00 x_{10} & -8.23 x_{4} & -0.81 x_{25} & -0.14 x_{31} & +  0.99 x_{27} & -0.20 x_{20} & -0.19 x_{28} & -0.28 x_{24} & -0.27 x_{22} & -1.53 x_{12} & +  0.53 x_{23} & -10.08 x_{15}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.310753284627 & +  0.04 x_{19} & -1.97 x_{11} & -0.05 x_{26} & +  2.03 x_{13} & +  1.23 x_{5} & +  1.91 x_{10} & -2.01 x_{4} & +  0.11 x_{25} & +  0.02 x_{31} & +  0.01 x_{27} & +  0.11 x_{20} & +  0.06 x_{28} & +  0.05 x_{24} & -0.03 x_{22} & +  0.95 x_{12} & -0.00 x_{23} & -0.28 x_{15}\\
 x_{17}   &  8.69285359068 & -0.20 x_{19} & +  9.97 x_{11} & +  0.00 x_{26} & -10.29 x_{13} & -3.65 x_{5} & -8.42 x_{10} & +  9.73 x_{4} & -0.49 x_{25} & -0.07 x_{31} & -0.27 x_{27} & -0.36 x_{20} & -0.29 x_{28} & -0.19 x_{24} & +  0.23 x_{22} & -5.32 x_{12} & +  0.04 x_{23} & +  2.19 x_{15}\\
 x_{7}   &  8.09454279519 & -0.05 x_{19} & +  4.30 x_{11} & +  0.02 x_{26} & -4.76 x_{13} & -1.94 x_{5} & -3.52 x_{10} & +  4.68 x_{4} & -0.28 x_{25} & -0.02 x_{31} & -0.08 x_{27} & -0.15 x_{20} & -0.13 x_{28} & -0.09 x_{24} & +  0.09 x_{22} & -2.83 x_{12} & -0.00 x_{23} & +  0.32 x_{15}\\
 x_{21}   &  77.2387847676 & -0.07 x_{19} & -19.04 x_{11} & +  0.03 x_{26} & + 26.10 x_{13} & -9.58 x_{5} & + 18.63 x_{10} & -28.91 x_{4} & +  0.68 x_{25} & +  0.29 x_{31} & +  0.29 x_{27} & +  1.11 x_{20} & +  1.06 x_{28} & +  1.27 x_{24} & -0.56 x_{22} & -9.08 x_{12} & +  0.77 x_{23} & -16.27 x_{15}\\
 x_{14}   &  3.34604214531 & -0.06 x_{19} & -0.30 x_{11} & -0.00 x_{26} & -0.57 x_{13} & -0.70 x_{5} & -0.31 x_{10} & -0.10 x_{4} & -0.01 x_{25} & -0.03 x_{31} & +  0.01 x_{27} & -0.00 x_{20} & -0.01 x_{28} & +  0.04 x_{24} & -0.02 x_{22} & -0.60 x_{12} & +  0.07 x_{23} & -0.23 x_{15}\\
 x_{18}   &  70.7200843949 & -2.39 x_{19} & + 97.58 x_{11} & -0.61 x_{26} & -103.71 x_{13} & -34.65 x_{5} & -71.24 x_{10} & + 94.10 x_{4} & -4.23 x_{25} & +  0.18 x_{31} & -3.03 x_{27} & -3.17 x_{20} & -2.64 x_{28} & -2.29 x_{24} & +  2.25 x_{22} & -53.06 x_{12} & +  1.07 x_{23} & + 19.41 x_{15}\\
 x_{1}   &  7.96052361946 & -0.10 x_{19} & +  4.41 x_{11} & -0.00 x_{26} & -5.41 x_{13} & -1.76 x_{5} & -4.39 x_{10} & +  4.34 x_{4} & -0.26 x_{25} & -0.02 x_{31} & -0.08 x_{27} & -0.20 x_{20} & -0.13 x_{28} & -0.04 x_{24} & +  0.10 x_{22} & -3.15 x_{12} & +  0.07 x_{23} & +  0.41 x_{15}\\
 x_{6}   &  13.0931737486 & -0.24 x_{19} & +  9.87 x_{11} & -0.02 x_{26} & -9.76 x_{13} & -4.44 x_{5} & -7.91 x_{10} & +  9.03 x_{4} & -0.52 x_{25} & -0.01 x_{31} & -0.27 x_{27} & -0.37 x_{20} & -0.24 x_{28} & -0.18 x_{24} & +  0.20 x_{22} & -5.80 x_{12} & +  0.06 x_{23} & +  1.15 x_{15}\\
 x_{9}   &  1.3441057751 & -0.05 x_{19} & +  2.65 x_{11} & +  0.04 x_{26} & -2.03 x_{13} & -1.27 x_{5} & -1.13 x_{10} & +  2.64 x_{4} & -0.09 x_{25} & +  0.01 x_{31} & -0.12 x_{27} & -0.09 x_{20} & -0.03 x_{28} & -0.03 x_{24} & +  0.06 x_{22} & -1.58 x_{12} & +  0.00 x_{23} & +  0.65 x_{15}\\
 x_{8}   &  12.2940282805 & -0.26 x_{19} & +  8.61 x_{11} & -0.01 x_{26} & -9.40 x_{13} & -4.23 x_{5} & -9.03 x_{10} & +  8.56 x_{4} & -0.51 x_{25} & -0.11 x_{31} & -0.20 x_{27} & -0.32 x_{20} & -0.25 x_{28} & -0.20 x_{24} & +  0.22 x_{22} & -4.20 x_{12} & +  0.03 x_{23} & +  1.18 x_{15}\\
 x_{16}   &  7.01163848381 & -0.15 x_{19} & +  7.11 x_{11} & +  0.03 x_{26} & -7.40 x_{13} & -3.44 x_{5} & -5.79 x_{10} & +  7.34 x_{4} & -0.38 x_{25} & -0.04 x_{31} & -0.15 x_{27} & -0.24 x_{20} & -0.17 x_{28} & -0.17 x_{24} & +  0.17 x_{22} & -3.67 x_{12} & +  0.06 x_{23} & +  0.59 x_{15}\\
 x_{29}   &  267.672532404 & -5.36 x_{19} & + 204.32 x_{11} & -0.17 x_{26} & -211.42 x_{13} & -90.48 x_{5} & -187.36 x_{10} & + 192.76 x_{4} & -11.40 x_{25} & -0.73 x_{31} & -4.99 x_{27} & -7.74 x_{20} & -5.42 x_{28} & -3.57 x_{24} & +  5.10 x_{22} & -122.50 x_{12} & +  1.36 x_{23} & + 20.91 x_{15}\\
 x_{30}   &  23.1700743998 & +  0.66 x_{19} & -9.97 x_{11} & -0.33 x_{26} & + 20.99 x_{13} & + 14.58 x_{5} & + 16.82 x_{10} & -31.28 x_{4} & +  0.83 x_{25} & +  0.82 x_{31} & +  0.21 x_{27} & +  0.66 x_{20} & +  1.13 x_{28} & +  0.41 x_{24} & -0.66 x_{22} & +  1.07 x_{12} & -0.29 x_{23} & -3.01 x_{15}\\
 x_{3}   &  14.1821556282 & -0.34 x_{19} & + 15.61 x_{11} & +  0.00 x_{26} & -15.65 x_{13} & -5.64 x_{5} & -12.66 x_{10} & + 14.91 x_{4} & -0.79 x_{25} & -0.04 x_{31} & -0.39 x_{27} & -0.54 x_{20} & -0.43 x_{28} & -0.28 x_{24} & +  0.37 x_{22} & -8.77 x_{12} & +  0.08 x_{23} & +  1.73 x_{15}\\
 x_{32}   &  107.286199799 & +  0.48 x_{19} & + 23.44 x_{11} & +  0.10 x_{26} & -37.08 x_{13} & -10.57 x_{5} & -28.16 x_{10} & + 17.98 x_{4} & -1.57 x_{25} & +  0.08 x_{31} & +  0.12 x_{27} & -1.38 x_{20} & -1.19 x_{28} & -0.73 x_{24} & +  0.38 x_{22} & -17.53 x_{12} & -0.01 x_{23} & +  3.94 x_{15}\\
\hline
z    &  73.73459065 & -0.46 x_{19} & + 17.98 x_{11} & -0.12 x_{26} & -24.88 x_{13} & -12.33 x_{5} & -23.01 x_{10} & + 17.40 x_{4} & -1.71 x_{25} & -0.09 x_{31} & -0.14 x_{27} & -1.05 x_{20} & -0.52 x_{28} & -0.52 x_{24} & +  0.33 x_{22} & -16.88 x_{12} & +  0.56 x_{23} & -3.77 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.154715972282 & +  0.02 x_{19} & -0.98 x_{11} & -0.02 x_{26} & +  1.01 x_{13} & +  0.61 x_{5} & +  0.95 x_{10} & -0.50 x_{2} & +  0.06 x_{25} & +  0.01 x_{31} & +  0.00 x_{27} & +  0.05 x_{20} & +  0.03 x_{28} & +  0.03 x_{24} & -0.01 x_{22} & +  0.47 x_{12} & -0.00 x_{23} & -0.14 x_{15}\\
 x_{17}   &  10.1986883367 & -0.01 x_{19} & +  0.44 x_{11} & -0.22 x_{26} & -0.44 x_{13} & +  2.33 x_{5} & +  0.85 x_{10} & -4.85 x_{2} & +  0.05 x_{25} & +  0.05 x_{31} & -0.22 x_{27} & +  0.17 x_{20} & -0.01 x_{28} & +  0.06 x_{24} & +  0.10 x_{22} & -0.72 x_{12} & +  0.03 x_{23} & +  0.82 x_{15}\\
 x_{7}   &  8.81838729038 & +  0.04 x_{19} & -0.28 x_{11} & -0.09 x_{26} & -0.03 x_{13} & +  0.94 x_{5} & +  0.93 x_{10} & -2.33 x_{2} & -0.02 x_{25} & +  0.04 x_{31} & -0.06 x_{27} & +  0.11 x_{20} & +  0.01 x_{28} & +  0.03 x_{24} & +  0.02 x_{22} & -0.62 x_{12} & -0.01 x_{23} & -0.34 x_{15}\\
 x_{21}   &  72.7659749711 & -0.64 x_{19} & +  9.26 x_{11} & +  0.70 x_{26} & -3.15 x_{13} & -27.34 x_{5} & -8.92 x_{10} & + 14.39 x_{2} & -0.94 x_{25} & -0.06 x_{31} & +  0.15 x_{27} & -0.46 x_{20} & +  0.20 x_{28} & +  0.53 x_{24} & -0.16 x_{22} & -22.76 x_{12} & +  0.80 x_{23} & -12.20 x_{15}\\
 x_{14}   &  3.3309153511 & -0.06 x_{19} & -0.20 x_{11} & -0.00 x_{26} & -0.67 x_{13} & -0.76 x_{5} & -0.40 x_{10} & +  0.05 x_{2} & -0.02 x_{25} & -0.03 x_{31} & +  0.00 x_{27} & -0.01 x_{20} & -0.01 x_{28} & +  0.04 x_{24} & -0.02 x_{22} & -0.64 x_{12} & +  0.07 x_{23} & -0.21 x_{15}\\
 x_{18}   &  85.2788948663 & -0.56 x_{19} & +  5.48 x_{11} & -2.79 x_{26} & -8.51 x_{13} & + 23.17 x_{5} & + 18.42 x_{10} & -46.85 x_{2} & +  1.05 x_{25} & +  1.30 x_{31} & -2.56 x_{27} & +  1.93 x_{20} & +  0.15 x_{28} & +  0.13 x_{24} & +  0.94 x_{22} & -8.53 x_{12} & +  0.97 x_{23} & +  6.15 x_{15}\\
 x_{1}   &  8.63249594621 & -0.02 x_{19} & +  0.16 x_{11} & -0.10 x_{26} & -1.02 x_{13} & +  0.91 x_{5} & -0.26 x_{10} & -2.16 x_{2} & -0.02 x_{25} & +  0.03 x_{31} & -0.06 x_{27} & +  0.03 x_{20} & -0.00 x_{28} & +  0.07 x_{24} & +  0.04 x_{22} & -1.10 x_{12} & +  0.06 x_{23} & -0.20 x_{15}\\
 x_{6}   &  14.4903784136 & -0.06 x_{19} & +  1.03 x_{11} & -0.23 x_{26} & -0.62 x_{13} & +  1.11 x_{5} & +  0.69 x_{10} & -4.50 x_{2} & -0.01 x_{25} & +  0.10 x_{31} & -0.22 x_{27} & +  0.12 x_{20} & +  0.02 x_{28} & +  0.05 x_{24} & +  0.08 x_{22} & -1.52 x_{12} & +  0.05 x_{23} & -0.12 x_{15}\\
 x_{9}   &  1.75197294941 & -0.00 x_{19} & +  0.07 x_{11} & -0.02 x_{26} & +  0.63 x_{13} & +  0.35 x_{5} & +  1.38 x_{10} & -1.31 x_{2} & +  0.06 x_{25} & +  0.04 x_{31} & -0.10 x_{27} & +  0.06 x_{20} & +  0.04 x_{28} & +  0.04 x_{24} & +  0.03 x_{22} & -0.33 x_{12} & +  0.00 x_{23} & +  0.28 x_{15}\\
 x_{8}   &  13.618917895 & -0.09 x_{19} & +  0.23 x_{11} & -0.21 x_{26} & -0.74 x_{13} & +  1.03 x_{5} & -0.87 x_{10} & -4.26 x_{2} & -0.03 x_{25} & -0.01 x_{31} & -0.16 x_{27} & +  0.14 x_{20} & +  0.00 x_{28} & +  0.02 x_{24} & +  0.10 x_{22} & -0.15 x_{12} & +  0.02 x_{23} & -0.03 x_{15}\\
 x_{16}   &  8.14680695602 & -0.00 x_{19} & -0.07 x_{11} & -0.13 x_{26} & +  0.03 x_{13} & +  1.07 x_{5} & +  1.20 x_{10} & -3.65 x_{2} & +  0.03 x_{25} & +  0.04 x_{31} & -0.11 x_{27} & +  0.16 x_{20} & +  0.05 x_{28} & +  0.02 x_{24} & +  0.07 x_{22} & -0.20 x_{12} & +  0.05 x_{23} & -0.44 x_{15}\\
 x_{29}   &  297.496060455 & -1.62 x_{19} & + 15.67 x_{11} & -4.62 x_{26} & -16.39 x_{13} & + 27.98 x_{5} & -3.70 x_{10} & -95.97 x_{2} & -0.58 x_{25} & +  1.57 x_{31} & -4.03 x_{27} & +  2.72 x_{20} & +  0.29 x_{28} & +  1.39 x_{24} & +  2.41 x_{22} & -31.27 x_{12} & +  1.16 x_{23} & -6.25 x_{15}\\
 x_{30}   &  18.3310176772 & +  0.06 x_{19} & + 20.64 x_{11} & +  0.40 x_{26} & -10.66 x_{13} & -4.64 x_{5} & -12.98 x_{10} & + 15.57 x_{2} & -0.93 x_{25} & +  0.44 x_{31} & +  0.05 x_{27} & -1.03 x_{20} & +  0.20 x_{28} & -0.39 x_{24} & -0.22 x_{22} & -13.73 x_{12} & -0.26 x_{23} & +  1.40 x_{15}\\
 x_{3}   &  16.4897295623 & -0.05 x_{19} & +  1.01 x_{11} & -0.34 x_{26} & -0.56 x_{13} & +  3.52 x_{5} & +  1.55 x_{10} & -7.43 x_{2} & +  0.05 x_{25} & +  0.14 x_{31} & -0.31 x_{27} & +  0.27 x_{20} & +  0.01 x_{28} & +  0.10 x_{24} & +  0.17 x_{22} & -1.72 x_{12} & +  0.06 x_{23} & -0.37 x_{15}\\
 x_{32}   &  110.067942683 & +  0.83 x_{19} & +  5.85 x_{11} & -0.32 x_{26} & -18.88 x_{13} & +  0.48 x_{5} & -11.03 x_{10} & -8.95 x_{2} & -0.56 x_{25} & +  0.30 x_{31} & +  0.21 x_{27} & -0.41 x_{20} & -0.66 x_{28} & -0.26 x_{24} & +  0.13 x_{22} & -9.02 x_{12} & -0.02 x_{23} & +  1.40 x_{15}\\
\hline
z    &  76.4271850198 & -0.12 x_{19} & +  0.94 x_{11} & -0.52 x_{26} & -7.27 x_{13} & -1.64 x_{5} & -6.43 x_{10} & -8.66 x_{2} & -0.74 x_{25} & +  0.12 x_{31} & -0.05 x_{27} & -0.11 x_{20} & -0.01 x_{28} & -0.08 x_{24} & +  0.09 x_{22} & -8.64 x_{12} & +  0.54 x_{23} & -6.22 x_{15}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{11}   &  0.158088476436 & +  0.02 x_{19} & -1.02 x_{4} & -0.02 x_{26} & +  1.03 x_{13} & +  0.63 x_{5} & +  0.97 x_{10} & -0.51 x_{2} & +  0.06 x_{25} & +  0.01 x_{31} & +  0.01 x_{27} & +  0.06 x_{20} & +  0.03 x_{28} & +  0.03 x_{24} & -0.01 x_{22} & +  0.48 x_{12} & -0.00 x_{23} & -0.14 x_{15}\\
 x_{17}   &  10.2685103701 & +  0.00 x_{19} & -0.45 x_{4} & -0.23 x_{26} & +  0.02 x_{13} & +  2.61 x_{5} & +  1.28 x_{10} & -5.07 x_{2} & +  0.08 x_{25} & +  0.05 x_{31} & -0.22 x_{27} & +  0.19 x_{20} & +  0.01 x_{28} & +  0.07 x_{24} & +  0.09 x_{22} & -0.50 x_{12} & +  0.02 x_{23} & +  0.75 x_{15}\\
 x_{7}   &  8.77440444284 & +  0.03 x_{19} & +  0.28 x_{4} & -0.08 x_{26} & -0.31 x_{13} & +  0.76 x_{5} & +  0.66 x_{10} & -2.19 x_{2} & -0.04 x_{25} & +  0.03 x_{31} & -0.06 x_{27} & +  0.09 x_{20} & +  0.00 x_{28} & +  0.02 x_{24} & +  0.02 x_{22} & -0.75 x_{12} & -0.01 x_{23} & -0.30 x_{15}\\
 x_{21}   &  74.2291991804 & -0.45 x_{19} & -9.46 x_{4} & +  0.48 x_{26} & +  6.42 x_{13} & -21.53 x_{5} & +  0.09 x_{10} & +  9.68 x_{2} & -0.41 x_{25} & +  0.06 x_{31} & +  0.19 x_{27} & +  0.06 x_{20} & +  0.48 x_{28} & +  0.77 x_{24} & -0.29 x_{22} & -18.28 x_{12} & +  0.79 x_{23} & -13.53 x_{15}\\
 x_{14}   &  3.29905026968 & -0.06 x_{19} & +  0.21 x_{4} & +  0.00 x_{26} & -0.88 x_{13} & -0.89 x_{5} & -0.60 x_{10} & +  0.15 x_{2} & -0.03 x_{25} & -0.03 x_{31} & +  0.00 x_{27} & -0.02 x_{20} & -0.02 x_{28} & +  0.03 x_{24} & -0.01 x_{22} & -0.74 x_{12} & +  0.07 x_{23} & -0.18 x_{15}\\
 x_{18}   &  86.1458616095 & -0.45 x_{19} & -5.60 x_{4} & -2.92 x_{26} & -2.84 x_{13} & + 26.62 x_{5} & + 23.76 x_{10} & -49.64 x_{2} & +  1.37 x_{25} & +  1.37 x_{31} & -2.53 x_{27} & +  2.23 x_{20} & +  0.31 x_{28} & +  0.27 x_{24} & +  0.86 x_{22} & -5.88 x_{12} & +  0.97 x_{23} & +  5.36 x_{15}\\
 x_{1}   &  8.6574790029 & -0.01 x_{19} & -0.16 x_{4} & -0.10 x_{26} & -0.85 x_{13} & +  1.01 x_{5} & -0.10 x_{10} & -2.24 x_{2} & -0.01 x_{25} & +  0.03 x_{31} & -0.06 x_{27} & +  0.04 x_{20} & +  0.00 x_{28} & +  0.07 x_{24} & +  0.04 x_{22} & -1.02 x_{12} & +  0.06 x_{23} & -0.22 x_{15}\\
 x_{6}   &  14.6538121511 & -0.04 x_{19} & -1.06 x_{4} & -0.26 x_{26} & +  0.45 x_{13} & +  1.76 x_{5} & +  1.70 x_{10} & -5.02 x_{2} & +  0.05 x_{25} & +  0.11 x_{31} & -0.22 x_{27} & +  0.18 x_{20} & +  0.06 x_{28} & +  0.07 x_{24} & +  0.06 x_{22} & -1.02 x_{12} & +  0.05 x_{23} & -0.27 x_{15}\\
 x_{9}   &  1.7628172587 & -0.00 x_{19} & -0.07 x_{4} & -0.02 x_{26} & +  0.70 x_{13} & +  0.39 x_{5} & +  1.45 x_{10} & -1.35 x_{2} & +  0.06 x_{25} & +  0.04 x_{31} & -0.10 x_{27} & +  0.06 x_{20} & +  0.05 x_{28} & +  0.04 x_{24} & +  0.02 x_{22} & -0.30 x_{12} & -0.00 x_{23} & +  0.27 x_{15}\\
 x_{8}   &  13.6551770334 & -0.08 x_{19} & -0.23 x_{4} & -0.22 x_{26} & -0.50 x_{13} & +  1.17 x_{5} & -0.65 x_{10} & -4.38 x_{2} & -0.02 x_{25} & -0.01 x_{31} & -0.16 x_{27} & +  0.16 x_{20} & +  0.01 x_{28} & +  0.03 x_{24} & +  0.10 x_{22} & -0.03 x_{12} & +  0.02 x_{23} & -0.06 x_{15}\\
 x_{16}   &  8.13547948301 & -0.00 x_{19} & +  0.07 x_{4} & -0.13 x_{26} & -0.05 x_{13} & +  1.02 x_{5} & +  1.13 x_{10} & -3.62 x_{2} & +  0.03 x_{25} & +  0.04 x_{31} & -0.11 x_{27} & +  0.15 x_{20} & +  0.04 x_{28} & +  0.01 x_{24} & +  0.07 x_{22} & -0.23 x_{12} & +  0.06 x_{23} & -0.43 x_{15}\\
 x_{29}   &  299.973071327 & -1.31 x_{19} & -16.01 x_{4} & -4.99 x_{26} & -0.19 x_{13} & + 37.82 x_{5} & + 11.55 x_{10} & -103.94 x_{2} & +  0.32 x_{25} & +  1.76 x_{31} & -3.95 x_{27} & +  3.58 x_{20} & +  0.76 x_{28} & +  1.80 x_{24} & +  2.19 x_{22} & -23.70 x_{12} & +  1.14 x_{23} & -8.51 x_{15}\\
 x_{30}   &  21.5940414494 & +  0.46 x_{19} & -21.09 x_{4} & -0.09 x_{26} & + 10.68 x_{13} & +  8.32 x_{5} & +  7.12 x_{10} & +  5.07 x_{2} & +  0.26 x_{25} & +  0.69 x_{31} & +  0.16 x_{27} & +  0.11 x_{20} & +  0.83 x_{28} & +  0.15 x_{24} & -0.52 x_{22} & -3.75 x_{12} & -0.28 x_{23} & -1.57 x_{15}\\
 x_{3}   &  16.6497732647 & -0.03 x_{19} & -1.03 x_{4} & -0.37 x_{26} & +  0.48 x_{13} & +  4.16 x_{5} & +  2.54 x_{10} & -7.94 x_{2} & +  0.11 x_{25} & +  0.15 x_{31} & -0.31 x_{27} & +  0.33 x_{20} & +  0.04 x_{28} & +  0.13 x_{24} & +  0.15 x_{22} & -1.23 x_{12} & +  0.06 x_{23} & -0.51 x_{15}\\
 x_{32}   &  110.99229881 & +  0.94 x_{19} & -5.97 x_{4} & -0.46 x_{26} & -12.84 x_{13} & +  4.15 x_{5} & -5.34 x_{10} & -11.93 x_{2} & -0.22 x_{25} & +  0.37 x_{31} & +  0.23 x_{27} & -0.08 x_{20} & -0.48 x_{28} & -0.11 x_{24} & +  0.05 x_{22} & -6.19 x_{12} & -0.03 x_{23} & +  0.56 x_{15}\\
\hline
z    &  76.5762586677 & -0.10 x_{19} & -0.96 x_{4} & -0.54 x_{26} & -6.30 x_{13} & -1.04 x_{5} & -5.51 x_{10} & -9.14 x_{2} & -0.68 x_{25} & +  0.13 x_{31} & -0.04 x_{27} & -0.05 x_{20} & +  0.02 x_{28} & -0.05 x_{24} & +  0.08 x_{22} & -8.18 x_{12} & +  0.54 x_{23} & -6.36 x_{15}\\
\end{array}\]


 $ x_{22} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{22}   &  11.1065812483 & +  1.39 x_{19} & -71.79 x_{4} & -1.66 x_{26} & + 72.63 x_{13} & + 44.12 x_{5} & + 68.40 x_{10} & -35.74 x_{2} & +  4.03 x_{25} & +  0.86 x_{31} & +  0.36 x_{27} & +  3.89 x_{20} & +  2.13 x_{28} & +  1.85 x_{24} & -70.26 x_{11} & + 33.97 x_{12} & -0.08 x_{23} & -10.11 x_{15}\\
 x_{17}   &  11.2553510156 & +  0.13 x_{19} & -6.83 x_{4} & -0.38 x_{26} & +  6.47 x_{13} & +  6.53 x_{5} & +  7.36 x_{10} & -8.25 x_{2} & +  0.44 x_{25} & +  0.13 x_{31} & -0.19 x_{27} & +  0.54 x_{20} & +  0.20 x_{28} & +  0.23 x_{24} & -6.24 x_{11} & +  2.51 x_{12} & +  0.02 x_{23} & -0.15 x_{15}\\
 x_{7}   &  9.03942309205 & +  0.06 x_{19} & -1.43 x_{4} & -0.12 x_{26} & +  1.42 x_{13} & +  1.82 x_{5} & +  2.29 x_{10} & -3.04 x_{2} & +  0.06 x_{25} & +  0.06 x_{31} & -0.05 x_{27} & +  0.18 x_{20} & +  0.06 x_{28} & +  0.06 x_{24} & -1.68 x_{11} & +  0.06 x_{12} & -0.01 x_{23} & -0.54 x_{15}\\
 x_{21}   &  70.9824502394 & -0.86 x_{19} & + 11.53 x_{4} & +  0.97 x_{26} & -14.82 x_{13} & -34.43 x_{5} & -19.90 x_{10} & + 20.13 x_{2} & -1.59 x_{25} & -0.19 x_{31} & +  0.09 x_{27} & -1.08 x_{20} & -0.14 x_{28} & +  0.23 x_{24} & + 20.54 x_{11} & -28.22 x_{12} & +  0.81 x_{23} & -10.58 x_{15}\\
 x_{14}   &  3.15990747447 & -0.08 x_{19} & +  1.11 x_{4} & +  0.03 x_{26} & -1.79 x_{13} & -1.44 x_{5} & -1.45 x_{10} & +  0.60 x_{2} & -0.08 x_{25} & -0.04 x_{31} & -0.00 x_{27} & -0.07 x_{20} & -0.04 x_{28} & +  0.01 x_{24} & +  0.88 x_{11} & -1.17 x_{12} & +  0.07 x_{23} & -0.06 x_{15}\\
 x_{18}   &  95.6911076272 & +  0.74 x_{19} & -67.30 x_{4} & -4.34 x_{26} & + 59.58 x_{13} & + 64.53 x_{5} & + 82.54 x_{10} & -80.36 x_{2} & +  4.83 x_{25} & +  2.10 x_{31} & -2.23 x_{27} & +  5.58 x_{20} & +  2.14 x_{28} & +  1.86 x_{24} & -60.38 x_{11} & + 23.32 x_{12} & +  0.90 x_{23} & -3.33 x_{15}\\
 x_{1}   &  9.11022697192 & +  0.04 x_{19} & -3.09 x_{4} & -0.17 x_{26} & +  2.11 x_{13} & +  2.80 x_{5} & +  2.69 x_{10} & -3.70 x_{2} & +  0.15 x_{25} & +  0.07 x_{31} & -0.04 x_{27} & +  0.20 x_{20} & +  0.09 x_{28} & +  0.15 x_{24} & -2.86 x_{11} & +  0.36 x_{12} & +  0.06 x_{23} & -0.64 x_{15}\\
 x_{6}   &  15.3319414062 & +  0.04 x_{19} & -5.44 x_{4} & -0.36 x_{26} & +  4.88 x_{13} & +  4.45 x_{5} & +  5.88 x_{10} & -7.20 x_{2} & +  0.30 x_{25} & +  0.16 x_{31} & -0.19 x_{27} & +  0.42 x_{20} & +  0.18 x_{28} & +  0.19 x_{24} & -4.29 x_{11} & +  1.05 x_{12} & +  0.04 x_{23} & -0.89 x_{15}\\
 x_{9}   &  2.03024007506 & +  0.03 x_{19} & -1.80 x_{4} & -0.06 x_{26} & +  2.45 x_{13} & +  1.46 x_{5} & +  3.09 x_{10} & -2.21 x_{2} & +  0.16 x_{25} & +  0.06 x_{31} & -0.09 x_{27} & +  0.15 x_{20} & +  0.10 x_{28} & +  0.09 x_{24} & -1.69 x_{11} & +  0.52 x_{12} & -0.00 x_{23} & +  0.02 x_{15}\\
 x_{8}   &  14.7668582828 & +  0.06 x_{19} & -7.42 x_{4} & -0.38 x_{26} & +  6.77 x_{13} & +  5.59 x_{5} & +  6.20 x_{10} & -7.96 x_{2} & +  0.38 x_{25} & +  0.08 x_{31} & -0.12 x_{27} & +  0.55 x_{20} & +  0.22 x_{28} & +  0.22 x_{24} & -7.03 x_{11} & +  3.37 x_{12} & +  0.01 x_{23} & -1.08 x_{15}\\
 x_{16}   &  8.92564614446 & +  0.10 x_{19} & -5.03 x_{4} & -0.25 x_{26} & +  5.12 x_{13} & +  4.16 x_{5} & +  6.00 x_{10} & -6.16 x_{2} & +  0.32 x_{25} & +  0.10 x_{31} & -0.09 x_{27} & +  0.43 x_{20} & +  0.19 x_{28} & +  0.14 x_{24} & -5.00 x_{11} & +  2.19 x_{12} & +  0.05 x_{23} & -1.15 x_{15}\\
 x_{29}   &  324.267724861 & +  1.74 x_{19} & -173.04 x_{4} & -8.62 x_{26} & + 158.68 x_{13} & + 134.32 x_{5} & + 161.16 x_{10} & -182.12 x_{2} & +  9.13 x_{25} & +  3.63 x_{31} & -3.17 x_{27} & + 12.10 x_{20} & +  5.41 x_{28} & +  5.83 x_{24} & -153.68 x_{11} & + 50.61 x_{12} & +  0.97 x_{23} & -30.63 x_{15}\\
 x_{30}   &  15.8526787572 & -0.26 x_{19} & + 16.02 x_{4} & +  0.76 x_{26} & -26.87 x_{13} & -14.48 x_{5} & -28.24 x_{10} & + 23.55 x_{2} & -1.83 x_{25} & +  0.25 x_{31} & -0.03 x_{27} & -1.90 x_{20} & -0.27 x_{28} & -0.80 x_{24} & + 36.32 x_{11} & -21.31 x_{12} & -0.24 x_{23} & +  3.66 x_{15}\\
 x_{3}   &  18.3396631992 & +  0.18 x_{19} & -11.96 x_{4} & -0.62 x_{26} & + 11.54 x_{13} & + 10.87 x_{5} & + 12.95 x_{10} & -13.38 x_{2} & +  0.72 x_{25} & +  0.28 x_{31} & -0.25 x_{27} & +  0.92 x_{20} & +  0.37 x_{28} & +  0.41 x_{24} & -10.69 x_{11} & +  3.94 x_{12} & +  0.05 x_{23} & -2.05 x_{15}\\
 x_{32}   &  111.523217585 & +  1.01 x_{19} & -9.41 x_{4} & -0.54 x_{26} & -9.37 x_{13} & +  6.26 x_{5} & -2.07 x_{10} & -13.63 x_{2} & -0.03 x_{25} & +  0.41 x_{31} & +  0.25 x_{27} & +  0.10 x_{20} & -0.38 x_{28} & -0.02 x_{24} & -3.36 x_{11} & -4.57 x_{12} & -0.03 x_{23} & +  0.08 x_{15}\\
\hline
z    &  77.4160964015 & +  0.00 x_{19} & -6.39 x_{4} & -0.67 x_{26} & -0.81 x_{13} & +  2.29 x_{5} & -0.34 x_{10} & -11.85 x_{2} & -0.38 x_{25} & +  0.20 x_{31} & -0.02 x_{27} & +  0.24 x_{20} & +  0.18 x_{28} & +  0.09 x_{24} & -5.31 x_{11} & -5.62 x_{12} & +  0.53 x_{23} & -7.12 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{22}   &  59.4010172234 & +  0.62 x_{19} & -22.99 x_{4} & +  0.67 x_{26} & -9.22 x_{13} & -3.05 x_{30} & -17.63 x_{10} & + 35.99 x_{2} & -1.54 x_{25} & +  1.62 x_{31} & +  0.27 x_{27} & -1.90 x_{20} & +  1.30 x_{28} & -0.60 x_{24} & + 40.38 x_{11} & -30.95 x_{12} & -0.82 x_{23} & +  1.02 x_{15}\\
 x_{17}   &  18.4061790996 & +  0.01 x_{19} & +  0.40 x_{4} & -0.03 x_{26} & -5.65 x_{13} & -0.45 x_{30} & -5.38 x_{10} & +  2.38 x_{2} & -0.39 x_{25} & +  0.24 x_{31} & -0.20 x_{27} & -0.32 x_{20} & +  0.07 x_{28} & -0.13 x_{24} & + 10.14 x_{11} & -7.10 x_{12} & -0.09 x_{23} & +  1.50 x_{15}\\
 x_{7}   &  11.0270234 & +  0.03 x_{19} & +  0.58 x_{4} & -0.02 x_{26} & -1.95 x_{13} & -0.13 x_{30} & -1.25 x_{10} & -0.09 x_{2} & -0.17 x_{25} & +  0.09 x_{31} & -0.06 x_{27} & -0.05 x_{20} & +  0.02 x_{28} & -0.04 x_{24} & +  2.88 x_{11} & -2.62 x_{12} & -0.04 x_{23} & -0.08 x_{15}\\
 x_{21}   &  33.2961263148 & -0.25 x_{19} & -26.55 x_{4} & -0.85 x_{26} & + 49.05 x_{13} & +  2.38 x_{30} & + 47.23 x_{10} & -35.85 x_{2} & +  2.75 x_{25} & -0.79 x_{31} & +  0.16 x_{27} & +  3.44 x_{20} & +  0.50 x_{28} & +  2.14 x_{24} & -65.80 x_{11} & + 22.44 x_{12} & +  1.39 x_{23} & -19.27 x_{15}\\
 x_{14}   &  1.58050529801 & -0.05 x_{19} & -0.49 x_{4} & -0.05 x_{26} & +  0.89 x_{13} & +  0.10 x_{30} & +  1.36 x_{10} & -1.75 x_{2} & +  0.10 x_{25} & -0.07 x_{31} & +  0.00 x_{27} & +  0.12 x_{20} & -0.01 x_{28} & +  0.09 x_{24} & -2.74 x_{11} & +  0.96 x_{12} & +  0.10 x_{23} & -0.42 x_{15}\\
 x_{18}   &  166.335389098 & -0.40 x_{19} & +  4.08 x_{4} & -0.93 x_{26} & -60.14 x_{13} & -4.46 x_{30} & -43.30 x_{10} & + 24.58 x_{2} & -3.31 x_{25} & +  3.22 x_{31} & -2.36 x_{27} & -2.89 x_{20} & +  0.94 x_{28} & -1.73 x_{24} & + 101.46 x_{11} & -71.65 x_{12} & -0.18 x_{23} & + 12.96 x_{15}\\
 x_{1}   &  12.1808712119 & -0.01 x_{19} & +  0.01 x_{4} & -0.02 x_{26} & -3.09 x_{13} & -0.19 x_{30} & -2.78 x_{10} & +  0.86 x_{2} & -0.20 x_{25} & +  0.12 x_{31} & -0.05 x_{27} & -0.17 x_{20} & +  0.04 x_{28} & -0.01 x_{24} & +  4.17 x_{11} & -3.76 x_{12} & +  0.01 x_{23} & +  0.07 x_{15}\\
 x_{6}   &  20.204337471 & -0.03 x_{19} & -0.52 x_{4} & -0.12 x_{26} & -3.38 x_{13} & -0.31 x_{30} & -2.80 x_{10} & +  0.03 x_{2} & -0.26 x_{25} & +  0.24 x_{31} & -0.20 x_{27} & -0.17 x_{20} & +  0.10 x_{28} & -0.06 x_{24} & +  6.87 x_{11} & -5.50 x_{12} & -0.03 x_{23} & +  0.24 x_{15}\\
 x_{9}   &  3.62508799108 & +  0.01 x_{19} & -0.19 x_{4} & +  0.02 x_{26} & -0.25 x_{13} & -0.10 x_{30} & +  0.25 x_{10} & +  0.16 x_{2} & -0.03 x_{25} & +  0.08 x_{31} & -0.10 x_{27} & -0.04 x_{20} & +  0.07 x_{28} & +  0.01 x_{24} & +  1.96 x_{11} & -1.62 x_{12} & -0.03 x_{23} & +  0.39 x_{15}\\
 x_{8}   &  20.8852885449 & -0.04 x_{19} & -1.24 x_{4} & -0.09 x_{26} & -3.60 x_{13} & -0.39 x_{30} & -4.70 x_{10} & +  1.13 x_{2} & -0.32 x_{25} & +  0.17 x_{31} & -0.14 x_{27} & -0.19 x_{20} & +  0.12 x_{28} & -0.09 x_{24} & +  6.98 x_{11} & -4.86 x_{12} & -0.08 x_{23} & +  0.34 x_{15}\\
 x_{16}   &  13.4807479655 & +  0.02 x_{19} & -0.43 x_{4} & -0.03 x_{26} & -2.60 x_{13} & -0.29 x_{30} & -2.12 x_{10} & +  0.61 x_{2} & -0.21 x_{25} & +  0.18 x_{31} & -0.09 x_{27} & -0.12 x_{20} & +  0.12 x_{28} & -0.09 x_{24} & +  5.44 x_{11} & -3.94 x_{12} & -0.02 x_{23} & -0.10 x_{15}\\
 x_{29}   &  471.313728124 & -0.63 x_{19} & -24.45 x_{4} & -1.52 x_{26} & -90.53 x_{13} & -9.28 x_{30} & -100.76 x_{10} & + 36.30 x_{2} & -7.81 x_{25} & +  5.97 x_{31} & -3.44 x_{27} & -5.53 x_{20} & +  2.90 x_{28} & -1.63 x_{24} & + 183.19 x_{11} & -147.05 x_{12} & -1.28 x_{23} & +  3.28 x_{15}\\
 x_{5}   &  1.09472398079 & -0.02 x_{19} & +  1.11 x_{4} & +  0.05 x_{26} & -1.86 x_{13} & -0.07 x_{30} & -1.95 x_{10} & +  1.63 x_{2} & -0.13 x_{25} & +  0.02 x_{31} & -0.00 x_{27} & -0.13 x_{20} & -0.02 x_{28} & -0.06 x_{24} & +  2.51 x_{11} & -1.47 x_{12} & -0.02 x_{23} & +  0.25 x_{15}\\
 x_{3}   &  30.2379618659 & -0.01 x_{19} & +  0.07 x_{4} & -0.04 x_{26} & -8.63 x_{13} & -0.75 x_{30} & -8.25 x_{10} & +  4.29 x_{2} & -0.65 x_{25} & +  0.47 x_{31} & -0.27 x_{27} & -0.51 x_{20} & +  0.16 x_{28} & -0.19 x_{24} & + 16.57 x_{11} & -12.05 x_{12} & -0.13 x_{23} & +  0.69 x_{15}\\
 x_{32}   &  118.374165948 & +  0.90 x_{19} & -2.48 x_{4} & -0.21 x_{26} & -20.98 x_{13} & -0.43 x_{30} & -14.27 x_{10} & -3.46 x_{2} & -0.82 x_{25} & +  0.52 x_{31} & +  0.24 x_{27} & -0.72 x_{20} & -0.50 x_{28} & -0.37 x_{24} & + 12.34 x_{11} & -13.78 x_{12} & -0.14 x_{23} & +  1.66 x_{15}\\
\hline
z    &  79.924334912 & -0.04 x_{19} & -3.86 x_{4} & -0.55 x_{26} & -5.06 x_{13} & -0.16 x_{30} & -4.81 x_{10} & -8.12 x_{2} & -0.67 x_{25} & +  0.24 x_{31} & -0.02 x_{27} & -0.06 x_{20} & +  0.14 x_{28} & -0.04 x_{24} & +  0.43 x_{11} & -8.99 x_{12} & +  0.50 x_{23} & -6.54 x_{15}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{22}   &  79.8362533261 & +  0.46 x_{19} & -39.28 x_{4} & +  0.15 x_{26} & + 20.89 x_{13} & -1.59 x_{30} & + 11.36 x_{10} & + 13.99 x_{2} & +  0.15 x_{25} & +  1.14 x_{31} & +  0.37 x_{27} & +  0.21 x_{20} & +  1.61 x_{28} & +  0.71 x_{24} & -0.61 x_{21} & -17.17 x_{12} & +  0.04 x_{23} & -10.80 x_{15}\\
 x_{17}   &  23.537143875 & -0.03 x_{19} & -3.70 x_{4} & -0.17 x_{26} & +  1.91 x_{13} & -0.08 x_{30} & +  1.90 x_{10} & -3.15 x_{2} & +  0.04 x_{25} & +  0.12 x_{31} & -0.18 x_{27} & +  0.21 x_{20} & +  0.15 x_{28} & +  0.20 x_{24} & -0.15 x_{21} & -3.64 x_{12} & +  0.12 x_{23} & -1.47 x_{15}\\
 x_{7}   &  12.4828913494 & +  0.02 x_{19} & -0.58 x_{4} & -0.06 x_{26} & +  0.20 x_{13} & -0.02 x_{30} & +  0.82 x_{10} & -1.66 x_{2} & -0.05 x_{25} & +  0.05 x_{31} & -0.05 x_{27} & +  0.10 x_{20} & +  0.04 x_{28} & +  0.06 x_{24} & -0.04 x_{21} & -1.63 x_{12} & +  0.02 x_{23} & -0.92 x_{15}\\
 x_{11}   &  0.506025967325 & -0.00 x_{19} & -0.40 x_{4} & -0.01 x_{26} & +  0.75 x_{13} & +  0.04 x_{30} & +  0.72 x_{10} & -0.54 x_{2} & +  0.04 x_{25} & -0.01 x_{31} & +  0.00 x_{27} & +  0.05 x_{20} & +  0.01 x_{28} & +  0.03 x_{24} & -0.02 x_{21} & +  0.34 x_{12} & +  0.02 x_{23} & -0.29 x_{15}\\
 x_{14}   &  0.194933071785 & -0.04 x_{19} & +  0.61 x_{4} & -0.02 x_{26} & -1.16 x_{13} & +  0.00 x_{30} & -0.61 x_{10} & -0.26 x_{2} & -0.01 x_{25} & -0.03 x_{31} & -0.00 x_{27} & -0.02 x_{20} & -0.04 x_{28} & +  0.00 x_{24} & +  0.04 x_{21} & +  0.02 x_{12} & +  0.04 x_{23} & +  0.38 x_{15}\\
 x_{18}   &  217.677832965 & -0.78 x_{19} & -36.86 x_{4} & -2.24 x_{26} & + 15.50 x_{13} & -0.79 x_{30} & + 29.53 x_{10} & -30.70 x_{2} & +  0.93 x_{25} & +  2.00 x_{31} & -2.11 x_{27} & +  2.41 x_{20} & +  1.71 x_{28} & +  1.58 x_{24} & -1.54 x_{21} & -37.04 x_{12} & +  1.96 x_{23} & -16.75 x_{15}\\
 x_{1}   &  14.2913769667 & -0.02 x_{19} & -1.67 x_{4} & -0.08 x_{26} & +  0.01 x_{13} & -0.04 x_{30} & +  0.21 x_{10} & -1.41 x_{2} & -0.03 x_{25} & +  0.07 x_{31} & -0.04 x_{27} & +  0.05 x_{20} & +  0.07 x_{28} & +  0.13 x_{24} & -0.06 x_{21} & -2.34 x_{12} & +  0.10 x_{23} & -1.15 x_{15}\\
 x_{6}   &  23.682137824 & -0.06 x_{19} & -3.29 x_{4} & -0.21 x_{26} & +  1.75 x_{13} & -0.06 x_{30} & +  2.13 x_{10} & -3.71 x_{2} & +  0.02 x_{25} & +  0.16 x_{31} & -0.19 x_{27} & +  0.19 x_{20} & +  0.15 x_{28} & +  0.16 x_{24} & -0.10 x_{21} & -3.15 x_{12} & +  0.11 x_{23} & -1.78 x_{15}\\
 x_{9}   &  4.61795403625 & -0.00 x_{19} & -0.98 x_{4} & -0.01 x_{26} & +  1.21 x_{13} & -0.03 x_{30} & +  1.66 x_{10} & -0.91 x_{2} & +  0.05 x_{25} & +  0.06 x_{31} & -0.09 x_{27} & +  0.06 x_{20} & +  0.08 x_{28} & +  0.07 x_{24} & -0.03 x_{21} & -0.95 x_{12} & +  0.02 x_{23} & -0.18 x_{15}\\
 x_{8}   &  24.4198218913 & -0.07 x_{19} & -4.06 x_{4} & -0.18 x_{26} & +  1.61 x_{13} & -0.13 x_{30} & +  0.31 x_{10} & -2.67 x_{2} & -0.03 x_{25} & +  0.09 x_{31} & -0.12 x_{27} & +  0.18 x_{20} & +  0.17 x_{28} & +  0.13 x_{24} & -0.11 x_{21} & -2.48 x_{12} & +  0.06 x_{23} & -1.71 x_{15}\\
 x_{16}   &  16.2320974195 & +  0.00 x_{19} & -2.63 x_{4} & -0.10 x_{26} & +  1.45 x_{13} & -0.09 x_{30} & +  1.78 x_{10} & -2.36 x_{2} & +  0.02 x_{25} & +  0.11 x_{31} & -0.08 x_{27} & +  0.17 x_{20} & +  0.16 x_{28} & +  0.09 x_{24} & -0.08 x_{21} & -2.08 x_{12} & +  0.09 x_{23} & -1.69 x_{15}\\
 x_{29}   &  564.015029487 & -1.33 x_{19} & -98.38 x_{4} & -3.89 x_{26} & + 46.04 x_{13} & -2.66 x_{30} & + 30.73 x_{10} & -63.50 x_{2} & -0.15 x_{25} & +  3.76 x_{31} & -3.00 x_{27} & +  4.03 x_{20} & +  4.30 x_{28} & +  4.35 x_{24} & -2.78 x_{21} & -84.56 x_{12} & +  2.59 x_{23} & -50.36 x_{15}\\
 x_{5}   &  2.36380557459 & -0.03 x_{19} & +  0.09 x_{4} & +  0.02 x_{26} & +  0.01 x_{13} & +  0.02 x_{30} & -0.15 x_{10} & +  0.26 x_{2} & -0.02 x_{25} & -0.01 x_{31} & +  0.00 x_{27} & -0.00 x_{20} & +  0.00 x_{28} & +  0.03 x_{24} & -0.04 x_{21} & -0.62 x_{12} & +  0.04 x_{23} & -0.48 x_{15}\\
 x_{3}   &  38.6221378994 & -0.07 x_{19} & -6.62 x_{4} & -0.26 x_{26} & +  3.72 x_{13} & -0.15 x_{30} & +  3.65 x_{10} & -4.73 x_{2} & +  0.04 x_{25} & +  0.27 x_{31} & -0.23 x_{27} & +  0.36 x_{20} & +  0.29 x_{28} & +  0.35 x_{24} & -0.25 x_{21} & -6.40 x_{12} & +  0.22 x_{23} & -4.16 x_{15}\\
 x_{32}   &  124.616850846 & +  0.85 x_{19} & -7.46 x_{4} & -0.37 x_{26} & -11.78 x_{13} & +  0.01 x_{30} & -5.41 x_{10} & -10.18 x_{2} & -0.30 x_{25} & +  0.37 x_{31} & +  0.27 x_{27} & -0.07 x_{20} & -0.40 x_{28} & +  0.03 x_{24} & -0.19 x_{21} & -9.57 x_{12} & +  0.12 x_{23} & -1.95 x_{15}\\
\hline
z    &  80.1438230951 & -0.04 x_{19} & -4.03 x_{4} & -0.55 x_{26} & -4.73 x_{13} & -0.14 x_{30} & -4.50 x_{10} & -8.36 x_{2} & -0.65 x_{25} & +  0.23 x_{31} & -0.02 x_{27} & -0.04 x_{20} & +  0.14 x_{28} & -0.02 x_{24} & -0.01 x_{21} & -8.84 x_{12} & +  0.50 x_{23} & -6.67 x_{15}\\
\end{array}\]


 $ x_{23} $ enters and Unbounded Dictionary!


 $ x_{23} $ enters and Unbounded Dictionary!
\end{document}
